diff --git a/packages/block-library/src/search/index.php b/packages/block-library/src/search/index.php
index 91f193c78a1b98..2216a411065e7f 100644
--- a/packages/block-library/src/search/index.php
+++ b/packages/block-library/src/search/index.php
@@ -208,6 +208,9 @@ function render_block_core_search( $attributes, $content, $block ) {
 	}
 
 	if ( $enhanced_pagination && $instant_search_enabled && isset( $block->context['queryId'] ) ) {
+
+		wp_interactivity_config( 'core/search', array( 'canonicalURL' => get_permalink() ) );
+
 		$is_inherited = isset( $block->context['query']['inherit'] ) && $block->context['query']['inherit'] && ! empty( $block->context['queryId'] );
 		$search       = '';
 
diff --git a/packages/block-library/src/search/view.js b/packages/block-library/src/search/view.js
index b3494c6f1a8364..bf732eec28bf9a 100644
--- a/packages/block-library/src/search/view.js
+++ b/packages/block-library/src/search/view.js
@@ -1,7 +1,12 @@
 /**
  * WordPress dependencies
  */
-import { store, getContext, getElement } from '@wordpress/interactivity';
+import {
+	store,
+	getContext,
+	getElement,
+	getConfig,
+} from '@wordpress/interactivity';
 
 /** @type {( () => void ) | null} */
 let supersedePreviousSearch = null;
@@ -106,14 +111,16 @@ const { state, actions } = store(
 					return;
 				}
 
-				const url = new URL( window.location.href );
+				let url = new URL( window.location.href );
 
 				if ( value ) {
 					if ( ctx.isInherited ) {
-						url.searchParams.set( 'instant-search', value );
+						// Get the canonical URL from the config
+						const { canonicalURL } = getConfig( 'core/search' );
 
 						// Make sure we reset the pagination.
-						url.searchParams.set( 'paged', '1' );
+						url = new URL( canonicalURL );
+						url.searchParams.set( 'instant-search', value );
 					} else {
 						// Set the instant-search parameter using the query ID and search value
 						const queryId = ctx.queryId;