Solano's family currently live in the capital and he has made it known he would like to be near his children.
West Ham were allegedly quick to offer him a chance of a move to Upton Park, but Big Sam insists there has been no "big offer".
Allardyce Wants Solano To Stay At Newcastle
Sam Allardyce: "Nobby has talked about his family situation and that's obviously something we have to try and resolve.
"But at the moment, unlike Kieron, where West Ham have come in with a big offer, nobody has come in for Nobby. So he stays with us and he really is not someone I would want to lose."