The European champions are keen to to tie up a deal in time for this Sunday's Community Shield clash with Manchester City.
According to ESPN, Chelsea chief executive Ron Gourlay contacted Wigan chairman Dave Whelan on Monday to try to thrash out an agreement in which Chelsea lodged a new bid for the Nigerian international that could be worth nearly £9-million.
Wigan have earlier rejected three previously lower offers from Chelsea for the 21-year-old, who has one year left on his contract, which included taking Josh McEachran or Romelu Lukaku on loan from Chelsea.
Wigan chairman Dave Whelan admitted having fruitful negotiations with Chelsea but insisted he would prefer if the player extended his stay at the club.
"I have spoken to Chelsea's chief executive and they are easy to deal with. We have told them the price and they will come back and agree it or not.
"We would much prefer the player to sign a new contract and stay but he wants to go to Chelsea and it's a good club so we cannot stand in his way," Whelan says.