Sky Sports News reported that he would be having a medical.
With a fee agreed for Belgian striker Romelu Lukaku to move in the opposite direction, the way appeared to be clear for the 31-year-old Rooney to leave Old Trafford after 13 years.
He has played more than 550 games for them, scoring 253 goals to become their all-time leading scorer.
But last season he was no longer an automatic selection under manager Jose Mourinho and also lost his place in the England squad.
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United were expected to fly to the United States without him to continue their pre-season preparations on Sunday.
(Reporting by Steve Tongue; editing by Clare Lovell)
