diff --git a/src/wp-includes/comment-template.php b/src/wp-includes/comment-template.php
index 854cbe73b3..84a60dbc4a 100644
--- a/src/wp-includes/comment-template.php
+++ b/src/wp-includes/comment-template.php
@@ -736,7 +736,7 @@ function get_comment_link( $comment = null, $args = array() ) {
 		}
 	}
 
-	if ( $cpage ) {
+	if ( $cpage && get_option( 'page_comments' ) ) {
 		if ( $wp_rewrite->using_permalinks() ) {
 			if ( $cpage ) {
 				$link = trailingslashit( $link ) . $wp_rewrite->comments_pagination_base . '-' . $cpage;
diff --git a/tests/phpunit/tests/comment/getCommentLink.php b/tests/phpunit/tests/comment/getCommentLink.php
index 32c490bdb2..fac5fa0d7f 100644
--- a/tests/phpunit/tests/comment/getCommentLink.php
+++ b/tests/phpunit/tests/comment/getCommentLink.php
@@ -128,4 +128,16 @@ class Tests_Comment_GetCommentLink extends WP_UnitTestCase {
 
 		$this->assertContains( 'cpage=3', $found );
 	}
+
+	/**
+	 * @ticket 34946
+	 */
+	public function test_should_not_contain_comment_page_1_when_pagination_is_disabled() {
+		$this->set_permalink_structure( '/%postname%/' );
+		update_option( 'page_comments', 0 );
+
+		$found = get_comment_link( self::$comments[1] );
+
+		$this->assertNotContains( 'comment-page-1', $found );
+	}
 }