The Denmark striker is the subject of talks with Napoli, where the Serie A champions want to setup a loan-to-buy arrangement.
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Hojlund, however, retains a wish to stay at Old Trafford this season, says the Mirror.
The youngster was left out of the squad for United's draw at Fulham on Sunday and is effectively fourth-choice striker behind Benjamin Sesko, Matheus Cunha and Bryan Mbeumo.
Despite his situation, Hojlund still has hopes of winning over manager Ruben Amorim and his preference is to stay.