The Daily Mirror reports that Chelsea are ready to join rivals Queens Park Rangers in the race to sign the former Crystal Palace winger.
The Nigeria international has refused to sign a new contract with Wigan and could be interested in leaving the club this summer.
Wigan chairman Dave Whelan has hinted that a big offer for Moses will be hard to resist for the club.
Daniel Sturridge’s time at Stamford Bridge could come to an end, should the Blues manage to sign Moses.
Sturridge has been linked with a number of rival Premier League clubs in recent weeks.