diff --git a/packages/block-editor/src/components/url-popover/test/__snapshots__/index.js.snap b/packages/block-editor/src/components/url-popover/test/__snapshots__/index.js.snap
index 502c850838f46..c7ecbc209a241 100644
--- a/packages/block-editor/src/components/url-popover/test/__snapshots__/index.js.snap
+++ b/packages/block-editor/src/components/url-popover/test/__snapshots__/index.js.snap
@@ -5,7 +5,7 @@ exports[`URLPopover matches the snapshot in its default state 1`] = `
   <span>
     <div
       class="components-popover block-editor-url-popover is-positioned"
-      style="position: absolute; top: 0px; left: 0px; transform: translateZ(0);"
+      style="position: absolute; top: 0px; left: 0px; transform: none;"
       tabindex="-1"
     >
       <div
@@ -53,7 +53,7 @@ exports[`URLPopover matches the snapshot when the settings are toggled open 1`]
   <span>
     <div
       class="components-popover block-editor-url-popover is-positioned"
-      style="position: absolute; top: 0px; left: 0px; transform: translateZ(0);"
+      style="position: absolute; top: 0px; left: 0px; transform: none;"
       tabindex="-1"
     >
       <div
@@ -108,7 +108,7 @@ exports[`URLPopover matches the snapshot when there are no settings 1`] = `
   <span>
     <div
       class="components-popover block-editor-url-popover is-positioned"
-      style="position: absolute; top: 0px; left: 0px; transform: translateZ(0);"
+      style="position: absolute; top: 0px; left: 0px; transform: none;"
       tabindex="-1"
     >
       <div
diff --git a/packages/components/CHANGELOG.md b/packages/components/CHANGELOG.md
index 6a56144118fe5..962531a07d942 100644
--- a/packages/components/CHANGELOG.md
+++ b/packages/components/CHANGELOG.md
@@ -2,6 +2,10 @@
 
 ## Unreleased
 
+### Bug Fix
+
+-   `Popover`: Allow legitimate 0 positions to update popover position ([#51320](https://github.com/WordPress/gutenberg/pull/51320)).
+
 ## 25.1.0 (2023-06-07)
 
 ### Enhancements
diff --git a/packages/components/src/popover/index.tsx b/packages/components/src/popover/index.tsx
index 0e7fb35c5f833..e5e7d45c9dd21 100644
--- a/packages/components/src/popover/index.tsx
+++ b/packages/components/src/popover/index.tsx
@@ -52,6 +52,7 @@ import Button from '../button';
 import ScrollLock from '../scroll-lock';
 import { Slot, Fill, useSlot } from '../slot-fill';
 import {
+	computePopoverPosition,
 	getFrameOffset,
 	getFrameScale,
 	positionToPlacement,
@@ -499,8 +500,8 @@ const UnforwardedPopover = (
 							// to use `translateX` and `translateY` because those values would
 							// be overridden by the return value of the
 							// `placementToMotionAnimationProps` function in `AnimatedWrapper`
-							x: Math.round( x ?? 0 ) || undefined,
-							y: Math.round( y ?? 0 ) || undefined,
+							x: computePopoverPosition( x ),
+							y: computePopoverPosition( y ),
 					  }
 			}
 		>
diff --git a/packages/components/src/popover/test/index.tsx b/packages/components/src/popover/test/index.tsx
index 256b89415cfae..7fb9e5377bf31 100644
--- a/packages/components/src/popover/test/index.tsx
+++ b/packages/components/src/popover/test/index.tsx
@@ -12,7 +12,11 @@ import { useState } from '@wordpress/element';
 /**
  * Internal dependencies
  */
-import { positionToPlacement, placementToMotionAnimationProps } from '../utils';
+import {
+	computePopoverPosition,
+	positionToPlacement,
+	placementToMotionAnimationProps,
+} from '../utils';
 import Popover from '..';
 import type { PopoverProps } from '../types';
 
@@ -248,4 +252,21 @@ describe( 'Popover', () => {
 			);
 		} );
 	} );
+
+	describe( 'computePopoverPosition', () => {
+		it.each( [
+			[ 14, 14 ], // valid integers shouldn't be changes
+			[ 14.02, 14 ], // floating numbers are parsed to integers
+			[ 0, 0 ], // zero remains zero
+			[ null, undefined ],
+			[ NaN, undefined ],
+		] )(
+			'converts `%s` to `%s`',
+			( inputCoordinate, expectedCoordinated ) => {
+				expect( computePopoverPosition( inputCoordinate ) ).toEqual(
+					expectedCoordinated
+				);
+			}
+		);
+	} );
 } );
diff --git a/packages/components/src/popover/utils.ts b/packages/components/src/popover/utils.ts
index 022e7796fe37d..2112b28596982 100644
--- a/packages/components/src/popover/utils.ts
+++ b/packages/components/src/popover/utils.ts
@@ -318,3 +318,15 @@ export const getReferenceElement = ( {
 	// Convert any `undefined` value to `null`.
 	return referenceElement ?? null;
 };
+
+/**
+ * Computes the final coordinate that needs to be applied to the floating
+ * element when applying transform inline styles, defaulting to `undefined`
+ * if the provided value is `null` or `NaN`.
+ *
+ * @param c input coordinate (usually as returned from floating-ui)
+ * @return The coordinate's value to be used for inline styles. An `undefined`
+ *         return value means "no style set" for this coordinate.
+ */
+export const computePopoverPosition = ( c: number | null ) =>
+	c === null || Number.isNaN( c ) ? undefined : Math.round( c );