While the Red Devils are still eighth in the table, they could finish seventh if they win their last game and Newcastle draw or lose theirs.
Post-game, Ten Hag spoke to the fans from the centre circle, stating: "On behalf of the players, the staff and myself, I'd like to thank you all for the brilliant support during the season.
"As you know, it wasn't an easy season, but one thing remained constant, and that was the backing of you for the team.
"But this season is not over yet. First at Brighton, we go for three points again, and then we go to Wembley.
"I promise you that those players will give everything. Everything to end it good, to win the cup and bring it to Old Trafford.
"And we are sure that you will be there, supporting us. Thank you for being the best supporters in the world. Thank you!"