Grealish has been out of action since February with a shin injury, but he was cleared to start training with his team-mates over the weekend.
Speaking ahead of Villa’s 3-1 defeat to United, manager Dean Smith said: “His first day of training will be with the players Saturday.
“Then we can actually gradually build that load up aiming for even Everton or Crystal Palace to play a part in those games.
“But we will be guided by Jack who knows what the pain will feel like but also the medical staff as well.”