According to the Sun, united are considering offering the 22-year-old to Atalanta, the club they signed of him, in exchange for breathola lookman.
Atalanta is supposed to keep Hojlund to a large extent, despite his constant problems for the goal and would be open to take him back.
The deal would depend on Lookman's wish to go to Old Trafford, with the Nigerian who is said to be a return to the Premier League.
Lookman Atalanta is expected to leave in the summer, with various Premier League clubs that compete for his signature.
Liverpool and Arsenal have also been associated with movements for Lookman, which was a considerable problem for the wrestling side of Ruben Amorim.