Chairman of the Latics Dave Whelan had said that it would take £10 million to lure their star man away from the DW Stadium, however the Champions League winners are hoping to sign him for a lower figure.
Roberto Di Matteo seems keen on signing the attacking midfielder even though it a position where he has a number of options in.
Eden Hazard, Oscar and Marko Marin have all already made the move to Stamford Bridge this summer.
The 21-year-old has just one year left on his current deal at Wigan and manager Roberto Martinez will be wary that he could walk out of the club for nothing in a year’s time.
That said though, they are likely to still hold out for the transfer fee that they want, something which the Blues seem reluctant to offer.
Moses was fantastic for Wigan last year as he helped them avoid relegation in the English Premier League. Now though, he may feel as though it is time to take his career to the next step.
Should he make the move then the Nigerian international be involved in a big competition for places in the starting eleven.