And previous Spanish press reports had confirmed that Barcelona would try again to sign Silva, whose value is estimated at 80 million pounds, in the summer.
But The Sun newspaper reported on Thursday that City did not want to lose Bernardo, who had enjoyed a fantastic five-year stay at the Etihad Stadium.
And Manchester City will not have to sell Silva cheaply, because he still has more than two and a half years left on his current contract.
Silva showed great commitment after the failure of his move to Barcelona in the last summer transfer period, where he pledged to give everything he had as long as he remained at Manchester City.