Last month, Wilshere revealed that he would leave Arsenal at the end of June after being told by new Gunners boss Unai Emery that he would only be a fringe member of the squad.
Wilshere has attracted interest from home and abroad, but it now appears that the 26-year-old is making every effort to complete a switch to the London Stadium.
According to The Times, the England international is already having tests with the East London outfit before penning a three-year contract.
The report suggests that there had been concern over the player’s previous fitness issues, but Manuel Pellegriniwas keen to push through the transfer.
Last season, Wilshere made 38 appearances in all competitions, but just 12 starts were made in the Premier League.