diff --git a/packages/block-editor/src/components/block-tools/block-selection-button.js b/packages/block-editor/src/components/block-tools/block-selection-button.js
index 9c6c22181ef2ac..358f88cc2e7291 100644
--- a/packages/block-editor/src/components/block-tools/block-selection-button.js
+++ b/packages/block-editor/src/components/block-tools/block-selection-button.js
@@ -8,8 +8,8 @@ import clsx from 'clsx';
  */
 import { dragHandle } from '@wordpress/icons';
 import { Button, Flex, FlexItem } from '@wordpress/components';
-import { useSelect, useDispatch } from '@wordpress/data';
-import { forwardRef, useEffect } from '@wordpress/element';
+import { useSelect, useDispatch, useRegistry } from '@wordpress/data';
+import { forwardRef, useEffect, useContext } from '@wordpress/element';
 import {
 	BACKSPACE,
 	DELETE,
@@ -38,6 +38,9 @@ import BlockIcon from '../block-icon';
 import { store as blockEditorStore } from '../../store';
 import BlockDraggable from '../block-draggable';
 import { useBlockElement } from '../block-list/use-block-props/use-block-refs';
+import { unlock } from '../../lock-unlock';
+import { getBindingsValues } from '../../hooks/use-bindings-attributes';
+import BlockContext from '../block-context';
 
 /**
  * Block selection button component, displaying the label of the block. If the block
@@ -51,6 +54,12 @@ import { useBlockElement } from '../block-list/use-block-props/use-block-refs';
  * @return {Component} The component to be rendered.
  */
 function BlockSelectionButton( { clientId, rootClientId }, ref ) {
+	const blockContext = useContext( BlockContext );
+	const registry = useRegistry();
+	const sources = useSelect( ( select ) =>
+		unlock( select( blocksStore ) ).getAllBlockBindingsSources()
+	);
+
 	const selected = useSelect(
 		( select ) => {
 			const {
@@ -62,7 +71,7 @@ function BlockSelectionButton( { clientId, rootClientId }, ref ) {
 				getNextBlockClientId,
 				getPreviousBlockClientId,
 				canMoveBlock,
-			} = select( blockEditorStore );
+			} = unlock( select( blockEditorStore ) );
 			const { getActiveBlockVariation, getBlockType } =
 				select( blocksStore );
 			const index = getBlockIndex( clientId );
@@ -72,13 +81,28 @@ function BlockSelectionButton( { clientId, rootClientId }, ref ) {
 				getBlockListSettings( rootClientId )?.orientation;
 			const match = getActiveBlockVariation( name, attributes );
 
+			const blockBindings = attributes?.metadata?.bindings;
+			const boundAttributes = getBindingsValues(
+				blockBindings,
+				name,
+				sources,
+				registry,
+				blockContext,
+				clientId
+			);
+
+			const newAttributes = {
+				...attributes,
+				...boundAttributes,
+			};
+
 			return {
 				blockMovingMode: hasBlockMovingClientId(),
 				editorMode: __unstableGetEditorMode(),
 				icon: match?.icon || blockType.icon,
 				label: getAccessibleBlockLabel(
 					blockType,
-					attributes,
+					newAttributes,
 					index + 1,
 					orientation
 				),
@@ -87,7 +111,7 @@ function BlockSelectionButton( { clientId, rootClientId }, ref ) {
 				getPreviousBlockClientId,
 			};
 		},
-		[ clientId, rootClientId ]
+		[ clientId, rootClientId, sources, registry, blockContext ]
 	);
 	const { label, icon, blockMovingMode, editorMode, canMove } = selected;
 	const { setNavigationMode, removeBlock } = useDispatch( blockEditorStore );
diff --git a/packages/block-editor/src/hooks/use-bindings-attributes.js b/packages/block-editor/src/hooks/use-bindings-attributes.js
index e1ebf5fda6b8ee..ee65c13ac853cd 100644
--- a/packages/block-editor/src/hooks/use-bindings-attributes.js
+++ b/packages/block-editor/src/hooks/use-bindings-attributes.js
@@ -96,6 +96,82 @@ export function getBindableAttributes( blockName ) {
 	return BLOCK_BINDINGS_ALLOWED_BLOCKS[ blockName ];
 }
 
+export function getBindingsValues(
+	blockBindings,
+	name,
+	sources,
+	registry,
+	blockContext,
+	clientId
+) {
+	if ( ! blockBindings ) {
+		return {};
+	}
+
+	const attributes = {};
+
+	const blockBindingsBySource = new Map();
+
+	for ( const [ attributeName, binding ] of Object.entries(
+		blockBindings
+	) ) {
+		const { source: sourceName, args: sourceArgs } = binding;
+		const source = sources[ sourceName ];
+		if ( ! source || ! canBindAttribute( name, attributeName ) ) {
+			continue;
+		}
+
+		blockBindingsBySource.set( source, {
+			...blockBindingsBySource.get( source ),
+			[ attributeName ]: {
+				args: sourceArgs,
+			},
+		} );
+	}
+
+	if ( blockBindingsBySource.size ) {
+		for ( const [ source, bindings ] of blockBindingsBySource ) {
+			// Populate context.
+			const context = {};
+
+			if ( source.usesContext?.length ) {
+				for ( const key of source.usesContext ) {
+					context[ key ] = blockContext[ key ];
+				}
+			}
+
+			// Get values in batch if the source supports it.
+			let values = {};
+			if ( ! source.getValues ) {
+				Object.keys( bindings ).forEach( ( attr ) => {
+					// Default to the `key` or the source label when `getValues` doesn't exist
+					values[ attr ] = bindings[ attr ].args?.key || source.label;
+				} );
+			} else {
+				values = source.getValues( {
+					registry,
+					context,
+					clientId,
+					bindings,
+				} );
+			}
+			for ( const [ attributeName, value ] of Object.entries( values ) ) {
+				if (
+					attributeName === 'url' &&
+					( ! value || ! isURLLike( value ) )
+				) {
+					// Return null if value is not a valid URL.
+					attributes[ attributeName ] = null;
+				} else {
+					attributes[ attributeName ] = value;
+				}
+			}
+		}
+	}
+
+	return attributes;
+}
+
 export const withBlockBindingSupport = createHigherOrderComponent(
 	( BlockEdit ) => ( props ) => {
 		const registry = useRegistry();
@@ -122,76 +198,15 @@ export const withBlockBindingSupport = createHigherOrderComponent(
 		// there are attribute updates.
 		// `source.getValues` may also call a selector via `registry.select`.
 		const boundAttributes = useSelect( () => {
-			if ( ! blockBindings ) {
-				return;
-			}
-
-			const attributes = {};
-
-			const blockBindingsBySource = new Map();
-
-			for ( const [ attributeName, binding ] of Object.entries(
-				blockBindings
-			) ) {
-				const { source: sourceName, args: sourceArgs } = binding;
-				const source = sources[ sourceName ];
-				if ( ! source || ! canBindAttribute( name, attributeName ) ) {
-					continue;
-				}
-
-				blockBindingsBySource.set( source, {
-					...blockBindingsBySource.get( source ),
-					[ attributeName ]: {
-						args: sourceArgs,
-					},
-				} );
-			}
-
-			if ( blockBindingsBySource.size ) {
-				for ( const [ source, bindings ] of blockBindingsBySource ) {
-					// Populate context.
-					const context = {};
-
-					if ( source.usesContext?.length ) {
-						for ( const key of source.usesContext ) {
-							context[ key ] = blockContext[ key ];
-						}
-					}
-
-					// Get values in batch if the source supports it.
-					let values = {};
-					if ( ! source.getValues ) {
-						Object.keys( bindings ).forEach( ( attr ) => {
-							// Default to the `key` or the source label when `getValues` doesn't exist
-							values[ attr ] =
-								bindings[ attr ].args?.key || source.label;
-						} );
-					} else {
-						values = source.getValues( {
-							registry,
-							context,
-							clientId,
-							bindings,
-						} );
-					}
-					for ( const [ attributeName, value ] of Object.entries(
-						values
-					) ) {
-						if (
-							attributeName === 'url' &&
-							( ! value || ! isURLLike( value ) )
-						) {
-							// Return null if value is not a valid URL.
-							attributes[ attributeName ] = null;
-						} else {
-							attributes[ attributeName ] = value;
-						}
-					}
-				}
-			}
-
-			return attributes;
-		}, [ blockBindings, name, clientId, blockContext, registry, sources ] );
+			return getBindingsValues(
+				blockBindings,
+				name,
+				sources,
+				registry,
+				blockContext,
+				clientId
+			);
+		}, [ blockBindings, name, sources, registry, blockContext, clientId ] );
 
 		const { setAttributes } = props;