After Wilfried Zaha completed his loan move to Crystal Palace on Thursday, the winger could be joined by Tom Cleverley and Shinji Kagawa in making an exit from Old Trafford during this summer transfer window.
Cleverley has been maligned by the majority for his performances in a Manchester United shirt of late, and the midfielder could be set for a move away after the Red Devils reportedly accepted an £8 million bid from Aston Villa, according to the Telegraph.
The England international has also reportedly received interest from Hull City and Everton, but Aston Villa now look in pole position to complete a move for the 25-year-old.
Kagawa is another player who could be on his way out, with Borussia Dortmund, the club that he signed from in 2012, ready to make a move to bring back their former player.
Jurgen Klopp is a big fan of the Japan international, and has previously moaned about the fact that the playmaker has not been used in the right position by Manchester United.
Kagawa does seem to be surplus to requirements at Old Trafford, and according to Sky Italia journalist Gianluca Di Marzio, Dortmund are closing in on the transfer after making an £8 million bid, with a further £2 million in add-ons.
Van Gaal, speaking to reporters at the unveiling of new signing Angel Di Maria, revealed he was still in the transfer market for a new player, but he also expected a few faces to leave, increasing the likelihood of some of the fringe players leaving in the next few days.
"I cannot say anything about that [the market] because it will raise the price," he said. "The club shall come, like now with Di Maria, when the time is right to announce it. We cannot react to every rumour.
"Also, players shall go in the meantime. I had a conversation with the players after lunch and I said, after this weekend, we shall maybe have another group. Players will go away and others will come in. We have to wait and see."