Index: src/wp-admin/js/widgets/media-widgets.js
===================================================================
--- src/wp-admin/js/widgets/media-widgets.js	(revision 41601)
+++ src/wp-admin/js/widgets/media-widgets.js	(working copy)
@@ -705,6 +705,10 @@
 				control.displaySettings.set( 'size', mediaFrameProps.size );
 			}

+			if ( wp.media.view.settings.defaultProps.widgetLink ) {
+				control.displaySettings.set( 'link', wp.media.view.settings.defaultProps.widgetLink );
+			}
+
 			mediaFrame = new component.MediaFrameSelect({
 				title: control.l10n.add_media,
 				frame: 'post',
Index: src/wp-includes/media.php
===================================================================
--- src/wp-includes/media.php	(revision 41601)
+++ src/wp-includes/media.php	(working copy)
@@ -3330,9 +3330,10 @@
 	unset( $tabs['type'], $tabs['type_url'], $tabs['gallery'], $tabs['library'] );

 	$props = array(
-		'link'  => get_option( 'image_default_link_type' ), // db default is 'file'
-		'align' => get_option( 'image_default_align' ), // empty default
-		'size'  => get_option( 'image_default_size' ),  // empty default
+		'link'       => get_option( 'image_default_link_type' ), // db default is 'file'
+		'widgetLink' => get_option( 'image_default_widget_link_type', 'custom' ),
+		'align'      => get_option( 'image_default_align' ), // empty default
+		'size'       => get_option( 'image_default_size' ),  // empty default
 	);

 	$exts = array_merge( wp_get_audio_extensions(), wp_get_video_extensions() );
Index: src/wp-includes/widgets/class-wp-widget-media-image.php
===================================================================
--- src/wp-includes/widgets/class-wp-widget-media-image.php	(revision 41601)
+++ src/wp-includes/widgets/class-wp-widget-media-image.php	(working copy)
@@ -92,7 +92,7 @@
 				'link_type' => array(
 					'type' => 'string',
 					'enum' => array( 'none', 'file', 'post', 'custom' ),
-					'default' => 'none',
+					'default' => get_option( 'image_widget_default_link_type', 'custom' ),
 					'media_prop' => 'link',
 					'description' => __( 'Link To' ),
 					'should_preview_update' => true,