Rooney has struggled for game time in recent weeks, with Jose Mourinho favouring other options in his squad.
And Scholes does not believe Rooney will be satisfied with being a bit-part player.
“If it carries on going the way it is, I can’t [see Rooney staying for another two years],” Scholes said. “Maybe it will be re-assessed at the end of the season if he's in and out of the team. I don't see him as a player who will accept that. He will want to be at a team where he's playing every week.”
Everton have been the team most closely linked with Rooney in recent times, and Scholes’ words offer Ronald Koeman’s side hope of signing the England international.
Rooney has achieved everything with United, and now he is the Red Devils’ all time record scorer - he may be willing to move elsewhere.
A switch back to Everton has been talked about, and Toffees boss Ronald Koeman has already suggested he would like to bring the 31-year-old back to Goodison Park.
Koeman has generally targeted signing younger players who he feels he can develop at Everton, but Rooney’s experience could be crucial to guiding a number of promising talents to fulfil their potential at the Merseyside club.
And if Everton did make a move this summer, Scholes’ comments suggest that Rooney may be willing to return to Goodison Park, to finish his career back where it all began.