diff --git a/src/wp-includes/user.php b/src/wp-includes/user.php
index 73a5fab469..e74f87d5e7 100644
--- a/src/wp-includes/user.php
+++ b/src/wp-includes/user.php
@@ -855,7 +855,13 @@ function count_users( $strategy = 'time', $site_id = null ) {
 	$result = array();
 
 	if ( 'time' == $strategy ) {
-		$avail_roles = wp_roles()->get_names();
+		if ( is_multisite() && $site_id != get_current_blog_id() ) {
+			switch_to_blog( $site_id );
+			$avail_roles = wp_roles()->get_names();
+			restore_current_blog();
+		} else {
+			$avail_roles = wp_roles()->get_names();
+		}
 
 		// Build a CPU-intensive query that will return concise information.
 		$select_count = array();
diff --git a/tests/phpunit/tests/user/countUsers.php b/tests/phpunit/tests/user/countUsers.php
index 115b4baa73..ac4e5e1970 100644
--- a/tests/phpunit/tests/user/countUsers.php
+++ b/tests/phpunit/tests/user/countUsers.php
@@ -133,6 +133,30 @@ class Tests_User_CountUsers extends WP_UnitTestCase {
 
 	}
 
+	/**
+	 * @ticket 42014
+	 * @group multisite
+	 * @group ms-required
+	 *
+	 * @dataProvider data_count_users_strategies
+	 */
+	public function test_count_users_multisite_queries_correct_roles( $strategy ) {
+		$site_id = (int) self::factory()->blog->create();
+
+		switch_to_blog( $site_id );
+		wp_roles()->add_role( 'tester', 'Tester', array( 'test' => true ) );
+		$user_id = self::factory()->user->create( array(
+			'role' => 'tester',
+		) );
+		restore_current_blog();
+
+		$count = count_users( $strategy, $site_id );
+		$this->assertEqualSetsWithIndex( array(
+			'tester' => 1,
+			'none'   => 0,
+		), $count['avail_roles'] );
+	}
+
 	/**
 	 * @ticket 34495
 	 *