The Sun says the England international has been told he can leave if the right offer comes along.
Both the Latics and the Trotters have lodged an interest.
City want £3million for the winger, who re-joined them three years ago from Chelsea.
And SWP accepts he will not be a regular at Eastlands while Roberto Mancini remains as boss.
He would prefer to stay in the North West so both clubs fit the bill.