So far there has been no public comment on the matter from Rooney, who impressed against Chelsea in Monday's goalless Barclays Premier League draw at Old Trafford.
Mourinho, speaking in the post-match press conference, said: "I think the person that started the story has to finish the story.
"A club like us, a manager like me and the people that work in the club with me, we are not silly to try to get a player from a big club, a club that doesn't sell what they don't want to sell.
"We are not silly to try to something if somebody didn't start it.
"It is time for the good of everyone to finish the story, to one side or the other side."
When asked how he knew Rooney had been agitating for a move, Mourinho said: "Because I know."
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