The Denmark striker is the subject of conversations with Napoli, where the Serie A champions want to set a loan-to-buy scheme.
Hojlund, however, retains a wish to stay in Old Trafford this season, says The Mirror.
The young person was left out of the team for United's Draw in Fulham on Sunday and is effectively fourth-choice striker behind Benjamin Sesko, Matheus Cunha and Bryan Mbeumo.
Despite his situation, Hojlund still has the hope to win Ruben Amorim manager and his preference to stay.