diff --git a/docs/components/dialog.md b/docs/components/dialog.md
index 29cd3e755..2f7f7033f 100644
--- a/docs/components/dialog.md
+++ b/docs/components/dialog.md
@@ -76,27 +76,29 @@ By design, a dialog's height will never exceed that of the viewport. As such, di
 </script>
 ```
 
-### Ignoring Clicks on the Overlay
+### Preventing the Dialog from Closing
 
-By default, dialogs are closed when the user clicks or taps on the overlay. To prevent this behavior, cancel the `sl-overlay-dismiss` event.
+By default, dialogs will close when the user clicks the close button, clicks the overlay, or presses the <kbd>Escape</kbd> key. In most cases, the default behavior is the best behavior in terms of UX. However, there are situations where this may be undesirable, such as when data loss will occur.
+
+To keep the dialog open in such cases, you can cancel the `sl-request-close` event. When canceled, the dialog will remain open and pulse briefly to draw the user's attention to it.
 
 ```html preview
-<sl-dialog label="Dialog" class="dialog-no-overlay-dismiss">
-  This dialog will not be closed when you click outside of it.
-  <sl-button slot="footer" type="primary">Close</sl-button>
+<sl-dialog label="Dialog" class="dialog-deny-close">
+  This dialog will not close unless you use the button below.
+  <sl-button slot="footer" type="primary">Save &amp; Close</sl-button>
 </sl-dialog>
 
 <sl-button>Open Dialog</sl-button>
 
 <script>
-  const dialog = document.querySelector('.dialog-no-overlay-dismiss');
+  const dialog = document.querySelector('.dialog-deny-close');
   const openButton = dialog.nextElementSibling;
-  const closeButton = dialog.querySelector('sl-button[slot="footer"]');
+  const saveButton = dialog.querySelector('sl-button[slot="footer"]');
 
   openButton.addEventListener('click', () => dialog.show());
-  closeButton.addEventListener('click', () => dialog.hide());
+  saveButton.addEventListener('click', () => dialog.hide());
 
-  dialog.addEventListener('sl-overlay-dismiss', event => event.preventDefault());
+  dialog.addEventListener('sl-request-close', event => event.preventDefault());
 </script>
 ```
 
diff --git a/docs/components/drawer.md b/docs/components/drawer.md
index 59b92f534..f8d3524fc 100644
--- a/docs/components/drawer.md
+++ b/docs/components/drawer.md
@@ -164,27 +164,30 @@ By design, a drawer's height will never exceed 100% of its container. As such, d
 </script>
 ```
 
-### Ignoring Clicks on the Overlay
+### Preventing the Drawer from Closing
+
+By default, drawers will close when the user clicks the close button, clicks the overlay, or presses the <kbd>Escape</kbd> key. In most cases, the default behavior is the best behavior in terms of UX. However, there are situations where this may be undesirable, such as when data loss will occur.
+
+To keep the drawer open in such cases, you can cancel the `sl-request-close` event. When canceled, the drawer will remain open and pulse briefly to draw the user's attention to it.
 
-By default, drawers are closed when the user clicks or taps on the overlay. To prevent this behavior, cancel the `sl-overlay-dismiss` event.
 
 ```html preview
-<sl-drawer label="Drawer" class="drawer-no-overlay-dismiss">
-  This drawer will not be closed when you click outside of it.
-  <sl-button slot="footer" type="primary">Close</sl-button>
+<sl-drawer label="Drawer" class="drawer-deny-close">
+  This dialog will not close unless you use the button below.
+  <sl-button slot="footer" type="primary">Save &amp; Close</sl-button>
 </sl-drawer>
 
 <sl-button>Open Drawer</sl-button>
 
 <script>
-  const drawer = document.querySelector('.drawer-no-overlay-dismiss');
+  const drawer = document.querySelector('.drawer-deny-close');
   const openButton = drawer.nextElementSibling;
   const closeButton = drawer.querySelector('sl-button[type="primary"]');
 
   openButton.addEventListener('click', () => drawer.show());
   closeButton.addEventListener('click', () => drawer.hide());
 
-  drawer.addEventListener('sl-overlay-dismiss', event => event.preventDefault());
+  drawer.addEventListener('sl-request-close', event => event.preventDefault());
 </script>
 ```
 
diff --git a/docs/resources/changelog.md b/docs/resources/changelog.md
index f7fa51408..4c6b8e0ef 100644
--- a/docs/resources/changelog.md
+++ b/docs/resources/changelog.md
@@ -8,6 +8,9 @@ _During the beta period, these restrictions may be relaxed in the event of a mis
 
 ## Next
 
+- 🚨 BREAKING: removed the `sl-overlay-click` event from `sl-dialog` and `sl-drawer` (use `sl-request-close` instead) [#471](https://github.com/shoelace-style/shoelace/discussions/471)
+- Added `sl-request-close` event to `sl-dialog` and `sl-drawer`
+- Added `dialog.denyClose` and `drawer.denyClose` animations
 - Fixed a bug in `sl-color-picker` where setting `value` immediately wouldn't trigger an update
 
 ## 2.0.0-beta.44
diff --git a/src/components/dialog/dialog.ts b/src/components/dialog/dialog.ts
index cf86fbd28..20740b40f 100644
--- a/src/components/dialog/dialog.ts
+++ b/src/components/dialog/dialog.ts
@@ -42,6 +42,7 @@ let id = 0;
  *
  * @animation dialog.show - The animation to use when showing the dialog.
  * @animation dialog.hide - The animation to use when hiding the dialog.
+ * @animation dialog.denyClose - The animation to use when a request to close the dialog is denied.
  * @animation dialog.overlay.show - The animation to use when showing the dialog's overlay.
  * @animation dialog.overlay.hide - The animation to use when hiding the dialog's overlay.
  */
@@ -92,8 +93,12 @@ export default class SlDialog extends LitElement {
    */
   @event('sl-initial-focus') slInitialFocus: EventEmitter<void>;
 
-  /** Emitted when the overlay is clicked. Calling `event.preventDefault()` will prevent the dialog from closing. */
-  @event('sl-overlay-dismiss') slOverlayDismiss: EventEmitter<void>;
+  /**
+   * Emitted when the user attempts to close the dialog by clicking the close button, clicking the overlay, or pressing
+   * the escape key. Calling `event.preventDefault()` will prevent the dialog from closing. Avoid using this unless
+   * closing the dialog will result in destructive behavior such as data loss.
+   */
+  @event('sl-request-close') slRequestClose: EventEmitter<void>;
 
   connectedCallback() {
     super.connectedCallback();
@@ -131,14 +136,21 @@ export default class SlDialog extends LitElement {
     return waitForEvent(this, 'sl-after-hide');
   }
 
-  handleCloseClick() {
+  private requestClose() {
+    const slRequestClose = this.slRequestClose.emit({ cancelable: true });
+    if (slRequestClose.defaultPrevented) {
+      const animation = getAnimation(this, 'dialog.denyClose');
+      animateTo(this.panel, animation.keyframes, animation.options);
+      return;
+    }
+
     this.hide();
   }
 
   handleKeyDown(event: KeyboardEvent) {
     if (event.key === 'Escape') {
       event.stopPropagation();
-      this.hide();
+      this.requestClose();
     }
   }
 
@@ -206,13 +218,6 @@ export default class SlDialog extends LitElement {
     }
   }
 
-  handleOverlayClick() {
-    const slOverlayDismiss = this.slOverlayDismiss.emit({ cancelable: true });
-    if (!slOverlayDismiss.defaultPrevented) {
-      this.hide();
-    }
-  }
-
   handleSlotChange() {
     this.hasFooter = hasSlot(this, 'footer');
   }
@@ -228,7 +233,7 @@ export default class SlDialog extends LitElement {
         })}
         @keydown=${this.handleKeyDown}
       >
-        <div part="overlay" class="dialog__overlay" @click=${this.handleOverlayClick} tabindex="-1"></div>
+        <div part="overlay" class="dialog__overlay" @click=${this.requestClose} tabindex="-1"></div>
 
         <div
           part="panel"
@@ -251,7 +256,7 @@ export default class SlDialog extends LitElement {
                     class="dialog__close"
                     name="x"
                     library="system"
-                    @click="${this.handleCloseClick}"
+                    @click="${this.requestClose}"
                   ></sl-icon-button>
                 </header>
               `
@@ -286,6 +291,11 @@ setDefaultAnimation('dialog.hide', {
   options: { duration: 250, easing: 'ease' }
 });
 
+setDefaultAnimation('dialog.denyClose', {
+  keyframes: [{ transform: 'scale(1)' }, { transform: 'scale(1.02)' }, { transform: 'scale(1)' }],
+  options: { duration: 250 }
+});
+
 setDefaultAnimation('dialog.overlay.show', {
   keyframes: [{ opacity: 0 }, { opacity: 1 }],
   options: { duration: 250 }
diff --git a/src/components/drawer/drawer.ts b/src/components/drawer/drawer.ts
index 916d45a12..5d77a12c8 100644
--- a/src/components/drawer/drawer.ts
+++ b/src/components/drawer/drawer.ts
@@ -50,6 +50,7 @@ let id = 0;
  * @animation drawer.hideEnd - The animation to use when hiding a drawer with `end` placement.
  * @animation drawer.hideBottom - The animation to use when hiding a drawer with `bottom` placement.
  * @animation drawer.hideStart - The animation to use when hiding a drawer with `start` placement.
+ * @animation drawer.denyClose - The animation to use when a request to close the drawer is denied.
  * @animation drawer.overlay.show - The animation to use when showing the drawer's overlay.
  * @animation drawer.overlay.hide - The animation to use when hiding the drawer's overlay.
  */
@@ -106,8 +107,12 @@ export default class SlDrawer extends LitElement {
   /** Emitted when the drawer opens and the panel gains focus. Calling `event.preventDefault()` will prevent focus and allow you to set it on a different element in the drawer, such as an input or button. */
   @event('sl-initial-focus') slInitialFocus: EventEmitter<void>;
 
-  /** Emitted when the overlay is clicked. Calling `event.preventDefault()` will prevent the drawer from closing. */
-  @event('sl-overlay-dismiss') slOverlayDismiss: EventEmitter<void>;
+  /**
+   * Emitted when the user attempts to close the drawer by clicking the close button, clicking the overlay, or pressing
+   * the escape key. Calling `event.preventDefault()` will prevent the drawer from closing. Avoid using this unless
+   * closing the drawer will result in destructive behavior such as data loss.
+   */
+  @event('sl-request-close') slRequestClose: EventEmitter<void>;
 
   connectedCallback() {
     super.connectedCallback();
@@ -145,14 +150,21 @@ export default class SlDrawer extends LitElement {
     return waitForEvent(this, 'sl-after-hide');
   }
 
-  handleCloseClick() {
+  private requestClose() {
+    const slRequestClose = this.slRequestClose.emit({ cancelable: true });
+    if (slRequestClose.defaultPrevented) {
+      const animation = getAnimation(this, 'drawer.denyClose');
+      animateTo(this.panel, animation.keyframes, animation.options);
+      return;
+    }
+
     this.hide();
   }
 
   handleKeyDown(event: KeyboardEvent) {
     if (event.key === 'Escape') {
       event.stopPropagation();
-      this.hide();
+      this.requestClose();
     }
   }
 
@@ -223,13 +235,6 @@ export default class SlDrawer extends LitElement {
     }
   }
 
-  handleOverlayClick() {
-    const slOverlayDismiss = this.slOverlayDismiss.emit({ cancelable: true });
-    if (!slOverlayDismiss.defaultPrevented) {
-      this.hide();
-    }
-  }
-
   handleSlotChange() {
     this.hasFooter = hasSlot(this, 'footer');
   }
@@ -251,7 +256,7 @@ export default class SlDrawer extends LitElement {
         })}
         @keydown=${this.handleKeyDown}
       >
-        <div part="overlay" class="drawer__overlay" @click=${this.handleOverlayClick} tabindex="-1"></div>
+        <div part="overlay" class="drawer__overlay" @click=${this.requestClose} tabindex="-1"></div>
 
         <div
           part="panel"
@@ -275,7 +280,7 @@ export default class SlDrawer extends LitElement {
                     class="drawer__close"
                     name="x"
                     library="system"
-                    @click=${this.handleCloseClick}
+                    @click=${this.requestClose}
                   ></sl-icon-button>
                 </header>
               `
@@ -362,6 +367,12 @@ setDefaultAnimation('drawer.hideStart', {
   options: { duration: 250, easing: 'ease' }
 });
 
+// Deny close
+setDefaultAnimation('drawer.denyClose', {
+  keyframes: [{ transform: 'scale(1)' }, { transform: 'scale(1.01)' }, { transform: 'scale(1)' }],
+  options: { duration: 250 }
+});
+
 // Overlay
 setDefaultAnimation('drawer.overlay.show', {
   keyframes: [{ opacity: 0 }, { opacity: 1 }],