The versatile forward was on the receiving end of four unsuccessful bids by the European champions but Wigan chairman Dave Whelan has finally caved in.
Wigan confirmed they had given Chelsea permission to speak to Moses and the move looks set to go through this week.
|BLUES TO STAY TOP DOGS?
|14/1||Chelsea are 14/1 with Paddy Power to retain the Champions League this season|
The 21-year-old played the full 90 minutes against his potential new club last weekend but failed to get on the score sheet as Roberto Di Matteo's men ran out 2-0 victors.
Moses' versatility - he can either play out wide or as a central striker - is believed to have attracted Chelsea as they look to push reigning champions Manchester City all the way in the Premier League.
The former Crystal Palace man has played for England at under-16, under-17, under-19 and under-21 level but has since pledged his allegiance to the country of his birth, Nigeria, and is now in their senior plans.