Both players have been sidelined with hamstring injuries, but they are now intensifying their rehabilitation efforts in preparation for their comeback to the field.
Hojlund is yet to play this season after picking up his problem during a pre-season game against Arsenal.
Mount, meanwhile, started United's first two games of the Premier League season before being withdrawn at half-time of last month's defeat at Brighton.
United return to action on Saturday for their Premier League trip to Crystal Palace - live on ; kick-off 5.30pm.
TrendingErik ten Hag's side approach the game in fine scoring form after bouncing back from a humbling league defeat to Liverpool by beating Southampton 3-0 on Saturday lunchtime before trouncing Barnsley 7-0 to reach the Carabao Cup fourth round.
United are 10th in the league table after four games, with two defeats and two victories to their name.
Crystal Palace (A) - Premier League - Saturday September 21 - live on
FC Twente (H) - Europa League - Wednesday September 25
Tottenham (H) - Premier League - Sunday September 29 - live on
FC Porto (A) - Europa League - Thursday October 3
Aston Villa (A) - Premier League - Sunday October 6 - live on
Brentford (H) - Premier League - Saturday October 19