diff --git a/packages/components/CHANGELOG.md b/packages/components/CHANGELOG.md
index 3674084f38e9e3..7ad6becdb8aef6 100644
--- a/packages/components/CHANGELOG.md
+++ b/packages/components/CHANGELOG.md
@@ -18,6 +18,7 @@
 -   `ToggleGroupControl`: Improve controlled value detection ([#57770](https://github.com/WordPress/gutenberg/pull/57770)).
 -   `Tooltip`: Improve props forwarding to children of nested `Tooltip` components ([#57878](https://github.com/WordPress/gutenberg/pull/57878)).
 -   `Tooltip`: revert prop types to only accept component-specific props ([#58125](https://github.com/WordPress/gutenberg/pull/58125)).
+-   `Button`: prevent the component from trashing and re-creating the HTML element ([#56490](https://github.com/WordPress/gutenberg/pull/56490)).
 
 ### Experimental
 
diff --git a/packages/components/src/button/index.tsx b/packages/components/src/button/index.tsx
index bd91de2ec2e83e..966075dd6e2b9a 100644
--- a/packages/components/src/button/index.tsx
+++ b/packages/components/src/button/index.tsx
@@ -195,9 +195,9 @@ export function UnforwardedButton(
 	const shouldShowTooltip =
 		! trulyDisabled &&
 		// An explicit tooltip is passed or...
-		( ( showTooltip && label ) ||
+		( ( showTooltip && !! label ) ||
 			// There's a shortcut or...
-			shortcut ||
+			!! shortcut ||
 			// There's a label and...
 			( !! label &&
 				// The children are empty and...
@@ -249,40 +249,28 @@ export function UnforwardedButton(
 			</button>
 		);
 
-	// Convert legacy `position` values to be used with the new `placement` prop
-	let computedPlacement;
-	// if `tooltipPosition` is defined, compute value to `placement`
-	if ( tooltipPosition !== undefined ) {
-		computedPlacement = positionToPlacement( tooltipPosition );
-	}
-
-	if ( ! shouldShowTooltip ) {
-		return (
-			<>
-				{ element }
-				{ describedBy && (
-					<VisuallyHidden>
-						<span id={ descriptionId }>{ describedBy }</span>
-					</VisuallyHidden>
-				) }
-			</>
-		);
-	}
-
-	return (
-		<>
-			<Tooltip
-				text={
+	// In order to avoid some React reconciliation issues, we are always rendering
+	// the `Tooltip` component even when `shouldShowTooltip` is `false`.
+	// In order to make sure that the tooltip doesn't show when it shouldn't,
+	// we don't pass the props to the `Tooltip` component.
+	const tooltipProps = shouldShowTooltip
+		? {
+				text:
 					( children as string | ReactElement[] )?.length &&
 					describedBy
 						? describedBy
-						: label
-				}
-				shortcut={ shortcut }
-				placement={ computedPlacement }
-			>
-				{ element }
-			</Tooltip>
+						: label,
+				shortcut,
+				placement:
+					tooltipPosition &&
+					// Convert legacy `position` values to be used with the new `placement` prop
+					positionToPlacement( tooltipPosition ),
+		  }
+		: {};
+
+	return (
+		<>
+			<Tooltip { ...tooltipProps }>{ element }</Tooltip>
 			{ describedBy && (
 				<VisuallyHidden>
 					<span id={ descriptionId }>{ describedBy }</span>
diff --git a/packages/components/src/button/test/index.tsx b/packages/components/src/button/test/index.tsx
index 345ae3813fe067..9b719f23a923f1 100644
--- a/packages/components/src/button/test/index.tsx
+++ b/packages/components/src/button/test/index.tsx
@@ -197,6 +197,43 @@ describe( 'Button', () => {
 			).not.toBeInTheDocument();
 		} );
 
+		it( 'should not trash the rendered HTML elements when toggling between showing and not showing a tooltip', async () => {
+			const user = userEvent.setup();
+
+			const { rerender } = render(
+				<Button label="Button label">Test button</Button>
+			);
+
+			const button = screen.getByRole( 'button', {
+				name: 'Button label',
+			} );
+
+			expect( button ).toBeVisible();
+
+			await user.tab();
+
+			expect( button ).toHaveFocus();
+
+			// Re-render the button, but this time change the settings so that it
+			// shows a tooltip.
+			rerender(
+				<Button label="Button label" showTooltip>
+					Test button
+				</Button>
+			);
+
+			// The same button element that we referenced before should still be
+			// in the document and have focus.
+			expect( button ).toHaveFocus();
+
+			// Re-render the button, but stop showing a tooltip.
+			rerender( <Button label="Button label">Test button</Button> );
+
+			// The same button element that we referenced before should still be
+			// in the document and have focus.
+			expect( button ).toHaveFocus();
+		} );
+
 		it( 'should add a disabled prop to the button', () => {
 			render( <Button disabled /> );
 
diff --git a/packages/editor/src/components/post-saved-state/index.js b/packages/editor/src/components/post-saved-state/index.js
index c3089057757d9d..ae9e03b5c300e6 100644
--- a/packages/editor/src/components/post-saved-state/index.js
+++ b/packages/editor/src/components/post-saved-state/index.js
@@ -9,7 +9,6 @@ import classnames from 'classnames';
 import {
 	__unstableGetAnimateClassName as getAnimateClassName,
 	Button,
-	Tooltip,
 } from '@wordpress/components';
 import { usePrevious, useViewportMatch } from '@wordpress/compose';
 import { useDispatch, useSelect } from '@wordpress/data';
@@ -129,54 +128,38 @@ export default function PostSavedState( { forceIsDirty } ) {
 		text = shortLabel;
 	}
 
-	const buttonAccessibleLabel = text || label;
-
-	/**
-	 * The tooltip needs to be enabled only if the button is not disabled. When
-	 * relying on the internal Button tooltip functionality, this causes the
-	 * resulting `button` element to be always removed and re-added to the DOM,
-	 * causing focus loss. An alternative approach to circumvent the issue
-	 * is not to use the `label` and `shortcut` props on `Button` (which would
-	 * trigger the tooltip), and instead manually wrap the `Button` in a separate
-	 * `Tooltip` component.
-	 */
-	const tooltipProps = isDisabled
-		? undefined
-		: {
-				text: buttonAccessibleLabel,
-				shortcut: displayShortcut.primary( 's' ),
-		  };
-
 	// Use common Button instance for all saved states so that focus is not
 	// lost.
 	return (
-		<Tooltip { ...tooltipProps }>
-			<Button
-				className={
-					isSaveable || isSaving
-						? classnames( {
-								'editor-post-save-draft': ! isSavedState,
-								'editor-post-saved-state': isSavedState,
-								'is-saving': isSaving,
-								'is-autosaving': isAutosaving,
-								'is-saved': isSaved,
-								[ getAnimateClassName( {
-									type: 'loading',
-								} ) ]: isSaving,
-						  } )
-						: undefined
-				}
-				onClick={ isDisabled ? undefined : () => savePost() }
-				variant="tertiary"
-				size="compact"
-				icon={ isLargeViewport ? undefined : cloudUpload }
-				// Make sure the aria-label has always a value, as the default `text` is undefined on small screens.
-				aria-label={ buttonAccessibleLabel }
-				aria-disabled={ isDisabled }
-			>
-				{ isSavedState && <Icon icon={ isSaved ? check : cloud } /> }
-				{ text }
-			</Button>
-		</Tooltip>
+		<Button
+			className={
+				isSaveable || isSaving
+					? classnames( {
+							'editor-post-save-draft': ! isSavedState,
+							'editor-post-saved-state': isSavedState,
+							'is-saving': isSaving,
+							'is-autosaving': isAutosaving,
+							'is-saved': isSaved,
+							[ getAnimateClassName( {
+								type: 'loading',
+							} ) ]: isSaving,
+					  } )
+					: undefined
+			}
+			onClick={ isDisabled ? undefined : () => savePost() }
+			/*
+			 * We want the tooltip to show the keyboard shortcut only when the
+			 * button does something, i.e. when it's not disabled.
+			 */
+			shortcut={ isDisabled ? undefined : displayShortcut.primary( 's' ) }
+			variant="tertiary"
+			size="compact"
+			icon={ isLargeViewport ? undefined : cloudUpload }
+			label={ text || label }
+			aria-disabled={ isDisabled }
+		>
+			{ isSavedState && <Icon icon={ isSaved ? check : cloud } /> }
+			{ text }
+		</Button>
 	);
 }