But Spurs had other ideas, as goals from Victor Wanyama and Harry Kane consigned the visitors to defeat in the final game at White Hart Lane.
Those three dropped points mean United now have no chance of qualifying for the Champions League by virtue of their domestic performances.
Third-placed Liverpool sit eight points ahead of their rivals, who lie sixth and have two games remaining. Manchester City, in fourth meanwhile, are seven points ahead of United with two games to play.
Indeed, with Arsenal four points clear in fifth and Everton unable to catch Mourinho's charges, sixth place looks almost inevitable for a team that has occupied that position for almost the entire campaign.
Fans need not fret just yet, however, as there is still one last chance for United to grab Champions League football next season.
Victory in the Europa League final over Ajax would see them enter the competition as the Premier League's fifth participant in the 2017-18 edition.