The Blues break the Latics' resolve at the fifth attempt as they meet the valuation Dave Whelan had in mind for his winger, believed to be in the region of 10 million pounds.
The midfielder was on the receiving end of four unsuccessful bids by the European champions but Dave Whelan has finally agreed to sell the player on the fifth attempt.
The club announced on its website that it had given Chelsea permission to speak to Moses as the move looks set to go through sometime this week.
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 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 it looks to push reigning champion Manchester City all the way in the Premier League.
He 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 its senior plans.
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