diff --git src/wp-includes/comment-template.php src/wp-includes/comment-template.php
index bad4a14..4fb5c58 100644
--- src/wp-includes/comment-template.php
+++ src/wp-includes/comment-template.php
@@ -659,7 +659,7 @@ function comment_ID() {
  * Retrieve the link to a given comment.
  *
  * @since 1.5.0
- * @since 4.4.0 Added the ability for `$comment` to also accept a WP_Comment object.
+ * @since 4.4.0 Added the ability for `$comment` to also accept a WP_Comment object. Added `$cpage` argument.
  *
  * @see get_page_of_comment()
  *
@@ -670,10 +670,12 @@ function comment_ID() {
  * @param array               $args {
  *     An array of optional arguments to override the defaults.
  *
- *     @type string $type      Passed to {@see get_page_of_comment()}.
- *     @type int    $page      Current page of comments, for calculating comment pagination.
- *     @type int    $per_page  Per-page value for comment pagination.
- *     @type int    $max_depth Passed to {@see get_page_of_comment()}.
+ *     @type string     $type      Passed to {@see get_page_of_comment()}.
+ *     @type int        $page      Current page of comments, for calculating comment pagination.
+ *     @type int        $per_page  Per-page value for comment pagination.
+ *     @type int        $max_depth Passed to {@see get_page_of_comment()}.
+ *     @type int|string $cpage     Value to use for the comment's "comment-page" or "cpage" value. If provided, this
+ *                                 value overrides any value calculated from `$page` and `$per_page`.
  * }
  * @return string The permalink to the given comment.
  */
@@ -687,42 +689,91 @@ function get_comment_link( $comment = null, $args = array() ) {
 		$args = array( 'page' => $args );
 	}
 
-	$defaults = array( 'type' => 'all', 'page' => '', 'per_page' => '', 'max_depth' => '' );
+	$defaults = array(
+		'type'      => 'all',
+		'page'      => '',
+		'per_page'  => '',
+		'max_depth' => '',
+		'cpage'     => null,
+	);
 	$args = wp_parse_args( $args, $defaults );
 
-	if ( '' === $args['per_page'] )
-		$args['per_page'] = get_option('comments_per_page');
+	$link = get_permalink( $comment->comment_post_ID );
+
+	// The 'cpage' param takes precedence.
+	if ( ! is_null( $args['cpage'] ) ) {
+		$cpage = $args['cpage'];
+
+	// No 'cpage' is provided, so we calculate one.
+	} else {
+		if ( '' === $args['per_page'] )
+			$args['per_page'] = get_option('comments_per_page');
+
+		if ( empty($args['per_page']) ) {
+			$args['per_page'] = 0;
+			$args['page'] = 0;
+		}
+
+		$cpage = $args['page'];
+
+		if ( '' == $cpage ) {
+			if ( ! empty( $in_comment_loop ) ) {
+				$cpage = get_query_var( 'cpage' );
+			} else {
+				$cpage = get_page_of_comment( $comment->comment_ID, $args );
+			}
+		}
+
+		// Drop the 'page' var if we're on the default page.
+		$comment_post = get_post( $comment->comment_post_ID );
+		if ( $args['per_page'] ) {
+			$total_pages = ceil( $comment_post->comment_count / $args['per_page'] );
+		} else {
+			$total_pages = 1;
+		}
 
-	if ( empty($args['per_page']) ) {
-		$args['per_page'] = 0;
-		$args['page'] = 0;
+		$default_comments_page = get_option( 'default_comments_page' );
+		if (
+			( 'newest' === $default_comments_page && $cpage == $total_pages ) ||
+			( 'oldest' === $default_comments_page && $cpage == 1 )
+		) {
+			$cpage = '';
+		}
 	}
 
-	if ( $args['per_page'] ) {
-		if ( '' == $args['page'] )
-			$args['page'] = ( !empty($in_comment_loop) ) ? get_query_var('cpage') : get_page_of_comment( $comment->comment_ID, $args );
+	if ( $cpage ) {
+		if ( $wp_rewrite->using_permalinks() ) {
+			if ( $cpage ) {
+				$link = trailingslashit( $link ) . $wp_rewrite->comments_pagination_base . '-' . $cpage;
+			}
 
-		if ( $wp_rewrite->using_permalinks() )
-			$link = user_trailingslashit( trailingslashit( get_permalink( $comment->comment_post_ID ) ) . $wp_rewrite->comments_pagination_base . '-' . $args['page'], 'comment' );
-		else
-			$link = add_query_arg( 'cpage', $args['page'], get_permalink( $comment->comment_post_ID ) );
-	} else {
-		$link = get_permalink( $comment->comment_post_ID );
+			$link = user_trailingslashit( $link, 'comment' );
+		} elseif ( $cpage ) {
+			$link = add_query_arg( 'cpage', $cpage, $link );
+		}
+
+	}
+
+	if ( $wp_rewrite->using_permalinks() ) {
+		$link = user_trailingslashit( $link, 'comment' );
 	}
 
 	$link = $link . '#comment-' . $comment->comment_ID;
+
 	/**
 	 * Filter the returned single comment permalink.
 	 *
 	 * @since 2.8.0
+	 * @since 4.4.0 Added the `$cpage` parameter.
 	 *
 	 * @see get_page_of_comment()
 	 *
 	 * @param string     $link    The comment permalink with '#comment-$id' appended.
 	 * @param WP_Comment $comment The current comment object.
 	 * @param array      $args    An array of arguments to override the defaults.
+	 * @param int        $cpage   The calculated 'cpage' value.
 	 */
-	return apply_filters( 'get_comment_link', $link, $comment, $args );
+	return apply_filters( 'get_comment_link', $link, $comment, $args, $cpage );
 }
 
 /**
@@ -1921,8 +1972,17 @@ function wp_list_comments( $args = array(), $comments = null ) {
 		}
 
 		// Pagination is already handled by `WP_Comment_Query`, so we tell Walker not to bother.
-		if ( 1 < $wp_query->max_num_comment_pages ) {
-			$r['page'] = 1;
+		if ( $wp_query->max_num_comment_pages ) {
+			$default_comments_page = get_option( 'default_comments_page' );
+			$cpage = get_query_var( 'cpage' );
+			if ( 'newest' === $default_comments_page ) {
+				$r['cpage'] = ( $cpage == $wp_query->max_num_comment_pages ) ? '' : $cpage;
+			} else {
+				$r['cpage'] = ( $cpage == 1 ) ? '' : $cpage;
+			}
+
+			$r['page'] = 0;
+			$r['per_page'] = 0;
 		}
 	}
 
diff --git tests/phpunit/tests/comment/commentsTemplate.php tests/phpunit/tests/comment/commentsTemplate.php
index f86f365..77f6a32 100644
--- tests/phpunit/tests/comment/commentsTemplate.php
+++ tests/phpunit/tests/comment/commentsTemplate.php
@@ -325,4 +325,160 @@ class Tests_Comment_CommentsTemplate extends WP_UnitTestCase {
 		$found_cids = array_map( 'intval', $matches[1] );
 		$this->assertSame( array( $comment_1, $comment_2 ), $found_cids );
 	}
+
+	/**
+	 * @ticket 34073
+	 */
+	public function test_comment_permalinks_should_be_correct_when_using_default_display_callback_with_default_comment_page_oldest() {
+		$now = time();
+		$p = $this->factory->post->create();
+		$comment_1 = $this->factory->comment->create( array(
+			'comment_post_ID' => $p,
+			'comment_content' => '1',
+			'comment_post_gmt' => date( 'Y-m-d H:i:s', $now - 100 ),
+		) );
+		$comment_2 = $this->factory->comment->create( array(
+			'comment_post_ID' => $p,
+			'comment_content' => '2',
+			'comment_post_gmt' => date( 'Y-m-d H:i:s', $now - 200 ),
+		) );
+		$comment_3 = $this->factory->comment->create( array(
+			'comment_post_ID' => $p,
+			'comment_content' => '3',
+			'comment_post_gmt' => date( 'Y-m-d H:i:s', $now - 300 ),
+		) );
+		$comment_4 = $this->factory->comment->create( array(
+			'comment_post_ID' => $p,
+			'comment_content' => '4',
+			'comment_post_gmt' => date( 'Y-m-d H:i:s', $now - 400 ),
+		) );
+
+		update_option( 'comment_order', 'desc' );
+		update_option( 'default_comments_page', 'oldest' );
+
+		$link_p1 = add_query_arg( array(
+			'comments_per_page' => 2,
+		), get_permalink( $p ) );
+
+		$this->go_to( $link_p1 );
+
+		$found_p1 = get_echo( 'comments_template' );
+
+		// Find the comment permalinks.
+		preg_match_all( '|href="(.*?#comment-([0-9]+))|', $found_p1, $matches );
+
+		// This is the main post page, so we don't expect any cpage param.
+		foreach ( $matches[1] as $m ) {
+			$this->assertNotContains( 'cpage', $m );
+		}
+
+		$link_p2 = add_query_arg( array(
+			'cpage' => 2,
+			'comments_per_page' => 2,
+		), get_permalink( $p ) );
+
+		$this->go_to( $link_p2 );
+
+		$found_p2 = get_echo( 'comments_template' );
+
+		// Find the comment permalinks.
+		preg_match_all( '|href="(.*?#comment-([0-9]+))|', $found_p2, $matches );
+
+		// They should all be on page 2.
+		foreach ( $matches[1] as $m ) {
+			$this->assertContains( 'cpage=2', $m );
+		}
+	}
+
+	/**
+	 * @ticket 34073
+	 */
+	public function test_comment_permalinks_should_be_correct_when_using_default_display_callback_with_default_comment_page_newest() {
+		$now = time();
+		$p = $this->factory->post->create();
+		$comment_1 = $this->factory->comment->create( array(
+			'comment_post_ID' => $p,
+			'comment_content' => '1',
+			'comment_post_gmt' => date( 'Y-m-d H:i:s', $now - 100 ),
+		) );
+		$comment_2 = $this->factory->comment->create( array(
+			'comment_post_ID' => $p,
+			'comment_content' => '2',
+			'comment_post_gmt' => date( 'Y-m-d H:i:s', $now - 200 ),
+		) );
+		$comment_3 = $this->factory->comment->create( array(
+			'comment_post_ID' => $p,
+			'comment_content' => '3',
+			'comment_post_gmt' => date( 'Y-m-d H:i:s', $now - 300 ),
+		) );
+		$comment_4 = $this->factory->comment->create( array(
+			'comment_post_ID' => $p,
+			'comment_content' => '4',
+			'comment_post_gmt' => date( 'Y-m-d H:i:s', $now - 400 ),
+		) );
+		$comment_5 = $this->factory->comment->create( array(
+			'comment_post_ID' => $p,
+			'comment_content' => '4',
+			'comment_post_gmt' => date( 'Y-m-d H:i:s', $now - 500 ),
+		) );
+		$comment_6 = $this->factory->comment->create( array(
+			'comment_post_ID' => $p,
+			'comment_content' => '4',
+			'comment_post_gmt' => date( 'Y-m-d H:i:s', $now - 600 ),
+		) );
+
+		update_option( 'comment_order', 'desc' );
+		update_option( 'default_comments_page', 'newest' );
+
+		$link_p0 = add_query_arg( array(
+			'comments_per_page' => 2,
+		), get_permalink( $p ) );
+
+		$this->go_to( $link_p0 );
+
+		$found_p0 = get_echo( 'comments_template' );
+
+		// Find the comment permalinks.
+		preg_match_all( '|href="(.*?#comment-([0-9]+))|', $found_p0, $matches );
+
+		// This is the main post page, so we don't expect any cpage param.
+		foreach ( $matches[1] as $m ) {
+			$this->assertNotContains( 'cpage', $m );
+		}
+
+		$link_p2 = add_query_arg( array(
+			'cpage' => 2,
+			'comments_per_page' => 2,
+		), get_permalink( $p ) );
+
+		$this->go_to( $link_p2 );
+
+		$found_p2 = get_echo( 'comments_template' );
+
+		// Find the comment permalinks.
+		preg_match_all( '|href="(.*?#comment-([0-9]+))|', $found_p2, $matches );
+
+		// They should all be on page 2.
+		foreach ( $matches[1] as $m ) {
+			$this->assertContains( 'cpage=2', $m );
+		}
+
+		// p1 is the last page (neat!).
+		$link_p1 = add_query_arg( array(
+			'cpage' => 1,
+			'comments_per_page' => 2,
+		), get_permalink( $p ) );
+
+		$this->go_to( $link_p1 );
+
+		$found_p1 = get_echo( 'comments_template' );
+
+		// Find the comment permalinks.
+		preg_match_all( '|href="(.*?#comment-([0-9]+))|', $found_p1, $matches );
+
+		// They should all be on page 2.
+		foreach ( $matches[1] as $m ) {
+			$this->assertContains( 'cpage=1', $m );
+		}
+	}
 }