The England forward's future has been subject to speculation recently, and the former Liverpool defender thinks that a sufficient offer for the striker could see United manager Sir Alex Ferguson willing to do business.
"If someone were to offer him £25m in the summer, I think Rooney could go," Lawrenson said in his column in The Mirror.
"In terms of the timing of when players leave Sir Alex very rarely gets it wrong.
I can't really remember anybody that has come back to haunt him."
Rooney signed for the Red Devils for £30m from Everton in 2004.