The 22-year-old shone at Bramall Lane this season as helped the Blades secure promotion from the Championship.
Henderson was a pivotal part of Chris Wilder’s side as they finished second in the table, conceding a joint-league low of 41 goals along the way.
The shot-stopper’s situation ahead of the 2019/20 campaign is up in the air as he is unlikely to get much game time at all at Old Trafford.
Talk of David de Gea potentially departing for the likes of PSG or Juventus has quietened, despite his contract remaining unresolved for now.
United’s No.1 endured a poor end to the season in terms of his form but the Spain international is still world-class and Solskjaer’s undoubted first choice between the sticks.
Argentina international Sergio Romero, 32, is still a strong experienced option as a back-up too and is tied down at Old Trafford until 2021.
As a result, Solskjaer admits Henderson may well benefit from rejoining Sheffield United for their first season back in the top flight.