The West Ham boss is unsure if the midfielder has a clause in his contract which could pave the way for a return to Old Trafford after his renaissance at Upton Park
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The West Ham boss is unsure whether the Premier League champions have the option to re-sign Morrison and concedes that his side could struggle to keep the midfielder if a substantial offer is received.
"I don't know if there is a buy-back clause and what that figure might be if it even exists," Allardyce told the press.
"But my real big worry is that Manchester United will come back to buy him.
"Look at what happened when Chris Smalling played a handful of games for Fulham - United jumped in with £10 million. Then there was Phil Jones when I was at Blackburn – that's what you are up against."