A statement from Wigan's official website confirms the news;
"The club can confirm that after four unsuccessful bids from Chelsea for Victor Moses, a fifth bid has today finally met the valuation and terms set by Wigan Athletic and been accepted, The player has been given permission to speak with Chelsea."
The Super Eagles forward is expected to travel to London for his medicals and agree terms with the Blues.
The footballer will be the third Nigerian after Celestine Babayaro and Mikel Obi playing for the current European Champions.