Our no.9 is eager to return to full fitness after getting injured during pre-season and he was pictured working hard at Carrington on Thursday.
However, Ten Hag has ruled the Dane out of match contention until after the international break - which runs for the fortnight following Liverpool's visit - despite clarifying that he is back on the grass.
United were without Hojlund, Victor Lindelof, Tyrell Malacia, Luke Shaw and Leny Yoro for the defeat to Brighton.
Mason Mount was withdrawn at half-time on the south coast and unfortunately the midfielder now faces a spell on the sidelines.