Moses has made no secret of his desire to join Chelsea and with the 22 year old entering the final year of his contract with the Latics a switch was inevitable.
Although Moses, who is under the age of 24, couldn't leave on a bosman, the Latics will be pleased to have achieve 90% of his perceived transfer value from Chelsea.
A club statement last night announced: "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 Nigerian winger is expected to complete his move to the Blues over the weekend with his former club Crystal Palace set to earn a percentage of the sell on fee as part of the deal that brought Moses to the Latics.
Following the news of Moses' departure, Latics boss Roberto Martinez has commented that he would like to make one more addition to the squad before the close of the transfer window.