Moyes watched his side return to winning ways with a 4-1 win over Aston Villa this afternoon.
"When I came in I knew exactly what the task was going to be," Moyes told BT Sport. "We have to build a team here.
"I've already got a good team, but now it's a time where we need to add to that.
"All the players I seem to talk to are really keen to join Manchester United so let's hope that comes to fruition in the summertime."
United's next game is against Bayern Munich on Tuesday evening.