diff --git tests/phpunit/tests/dependencies/scripts.php tests/phpunit/tests/dependencies/scripts.php
index efe5a7b..62691c0 100644
--- tests/phpunit/tests/dependencies/scripts.php
+++ tests/phpunit/tests/dependencies/scripts.php
@@ -724,4 +724,17 @@ class Tests_Dependencies_Scripts extends WP_UnitTestCase {
 
 		$this->assertEquals( $expected, get_echo( 'wp_print_scripts' ) );
 	}
+
+	/**
+	 * @ticket 37877
+	 */
+	function test_wp_add_inline_script_single_quotes() {
+		wp_enqueue_script( 'test-example', 'example.com', array(), null );
+		wp_add_inline_script( 'test-example', '"Aujourd\'hui";' );
+
+		$expected = "<script type='text/javascript' src='http://example.com'></script>\n";
+		$expected .= "<script type='text/javascript'>\n\"Aujourd'hui\";\n</script>\n";
+
+		$this->assertEquals( $expected, get_echo( 'wp_print_scripts' ) );
+	}
 }