The Sun claims the English stopper is insisting: “Make me No 1 or let me go.”
The 23-year-old has enjoyed two very impressive seasons on loan at Sheffield united, but does not want to return to Old Trafford and play second fiddle to current first-choice David De Gea.
The Spaniard has made a number of high-profile mistakes in recent times, leading to calls for Henderson to replace him in goal for United.
Chelsea are among the clubs interested in Henderson as they look for a replacement for Kepa Arrizabalaga.
Reports suggest the Blues are willing to double his wages to lure him to Stamford Bridge.
Henderson’s ultimatum leave Ole Gunnar Solskjaer in a difficult situation with De Gea signing a new six-year £117million deal this time last year.
Solksjaer has consistently defended De Gea after his string of blunders, but even he could not explain his last mistake in the 3-1 FA Cup semi-final defeat to Chelsea as he let Mason Mount’s skimmed shot slip through his fingers.
Solskjaer said: “He knows he should saved that one 100 times out of 100.”