diff --git a/src/wp-includes/html-api/class-wp-html-processor.php b/src/wp-includes/html-api/class-wp-html-processor.php
index 41d3b28f22177..41036943c21c6 100644
--- a/src/wp-includes/html-api/class-wp-html-processor.php
+++ b/src/wp-includes/html-api/class-wp-html-processor.php
@@ -5364,9 +5364,9 @@ public function seek( $bookmark_name ): bool {
 				$this->state->insertion_mode = WP_HTML_Processor_State::INSERTION_MODE_INITIAL;
 				$this->breadcrumbs           = array();
 
-				$this->bytes_already_parsed = 0;
-				$this->parser_state         = self::STATE_READY;
-				$this->next_token();
+				$this->bookmarks['initial'] = new WP_HTML_Span( 0, 0 );
+				parent::seek( 'initial' );
+				unset( $this->bookmarks['initial'] );
 			} else {
 				$this->change_parsing_namespace(
 					$this->context_node->integration_node_type
diff --git a/src/wp-includes/html-api/class-wp-html-tag-processor.php b/src/wp-includes/html-api/class-wp-html-tag-processor.php
index a5b7645e122ee..e2632c80f6da5 100644
--- a/src/wp-includes/html-api/class-wp-html-tag-processor.php
+++ b/src/wp-includes/html-api/class-wp-html-tag-processor.php
@@ -591,7 +591,7 @@ class WP_HTML_Tag_Processor {
 	 * @since 6.2.0
 	 * @var int
 	 */
-	protected $bytes_already_parsed = 0;
+	private $bytes_already_parsed = 0;
 
 	/**
 	 * Byte offset in input document where current token starts.