Index: src/wp-admin/css/customize-nav-menus.css
===================================================================
--- src/wp-admin/css/customize-nav-menus.css	(revision 38182)
+++ src/wp-admin/css/customize-nav-menus.css	(working copy)
@@ -16,10 +16,23 @@
 	color: #555;
 }
 
+/* The `edit-menu` button uses also the `button-link` class. */
 .customize-control-nav_menu_location .edit-menu {
-	margin-top: 1px;
+	margin-left: 6px;
+	vertical-align: middle;
+	color: #0073aa;
+	text-decoration: underline;
 }
 
+.customize-control-nav_menu_location .edit-menu:hover,
+.customize-control-nav_menu_location .edit-menu:active {
+	color: #00a0d2;
+}
+
+.customize-control-nav_menu_location .edit-menu:focus {
+	color: #124964;
+}
+
 .wp-customizer .menu-item-bar .menu-item-handle,
 .wp-customizer .menu-item-settings,
 .wp-customizer .menu-item-settings .description-thin {
Index: src/wp-includes/customize/class-wp-customize-nav-menu-location-control.php
===================================================================
--- src/wp-includes/customize/class-wp-customize-nav-menu-location-control.php	(revision 38182)
+++ src/wp-includes/customize/class-wp-customize-nav-menu-location-control.php	(working copy)
@@ -77,7 +77,7 @@
 				?>
 			</select>
 		</label>
-		<button type="button" class="button edit-menu<?php if ( ! $this->value() ) { echo ' hidden'; } ?>"><?php _e( 'Edit' ); ?></button>
+		<button type="button" class="button-link edit-menu<?php if ( ! $this->value() ) { echo ' hidden'; } ?>" aria-label="<?php esc_attr_e( 'Edit selected menu' ); ?>"><?php _e( 'Edit Menu' ); ?></button>
 		<?php
 	}
 }