That's according to French reporter Julien Laurens.
"I'd be very amazed [if Griezmann joined United]," Laurens told ESPN FC.
"Okay, it hasn't really worked out for him at Barcelona so far this season.
"Why would you let him go? And from what we were told before, he never wanted to go to England anyway."
He continued: "His wife Erika doesn't want to move out of Spain, he's very happy in Spain, Spain is his second country but probably more his country than France and I don't really think England is really appealing to him."