diff --git a/src/wp-includes/blocks/comment-template.php b/src/wp-includes/blocks/comment-template.php
index 3a553e802de0e..703984ebc88c0 100644
--- a/src/wp-includes/blocks/comment-template.php
+++ b/src/wp-includes/blocks/comment-template.php
@@ -35,8 +35,11 @@ function block_core_comment_template_render_comments( $comments, $block ) {
 		 * We set commentId context through the `render_block_context` filter so
 		 * that dynamically inserted blocks (at `render_block` filter stage)
 		 * will also receive that context.
+		 *
+		 * Use an early priority to so that other 'render_block_context' filters
+		 * have access to the values.
 		 */
-		add_filter( 'render_block_context', $filter_block_context );
+		add_filter( 'render_block_context', $filter_block_context, 0 );
 
 		/*
 		 * We construct a new WP_Block instance from the parsed block so that
@@ -44,7 +47,7 @@ function block_core_comment_template_render_comments( $comments, $block ) {
 		 */
 		$block_content = ( new WP_Block( $block->parsed_block ) )->render( array( 'dynamic' => false ) );
 
-		remove_filter( 'render_block_context', $filter_block_context );
+		remove_filter( 'render_block_context', $filter_block_context, 0 );
 
 		$children = $comment->get_children();
 
diff --git a/src/wp-includes/blocks/post-template.php b/src/wp-includes/blocks/post-template.php
index 3c023c80ed263..d4f22ab225d38 100644
--- a/src/wp-includes/blocks/post-template.php
+++ b/src/wp-includes/blocks/post-template.php
@@ -97,11 +97,13 @@ function render_block_core_post_template( $attributes, $content, $block ) {
 			$context['postId']   = $post_id;
 			return $context;
 		};
-		add_filter( 'render_block_context', $filter_block_context );
+
+		// Use an early priority to so that other 'render_block_context' filters have access to the values.
+		add_filter( 'render_block_context', $filter_block_context, 0 );
 		// Render the inner blocks of the Post Template block with `dynamic` set to `false` to prevent calling
 		// `render_callback` and ensure that no wrapper markup is included.
 		$block_content = ( new WP_Block( $block_instance ) )->render( array( 'dynamic' => false ) );
-		remove_filter( 'render_block_context', $filter_block_context );
+		remove_filter( 'render_block_context', $filter_block_context, 0 );
 
 		// Wrap the render inner blocks in a `li` element with the appropriate post classes.
 		$post_classes = implode( ' ', get_post_class( 'wp-block-post' ) );