The 27-year-old has spent the last four years with the Toffees, scoring nine goals and providing 16 assists in 140 appearances across all competitions, including two goals and eight assists in 38 Premier League games last season.
However, Iwobi has been tipped to leave Goodison Park this summer as he has entered the final year of his contract, and cash-strapped Everton are believed to be open to parting ways for the right price.
According to Sky Sports News, Fulham and Everton are close to an agreement over a deal for Iwobi to move to Craven Cottage before Friday's transfer deadline.
Iwobi is said to have already agreed personal terms with the Cottagers and the Nigerian is expected to travel to London for a medical once the final details of the deal are sorted.
Fulham boss Marco Silva was in charge of Everton when they signed Iwobi from Arsenal in 2019.
Sticking with Everton and they have reportedly identified West Ham United's Maxwel Cornet as a potential replacement for Iwobi.
Toffees boss Sean Dyche is familiar with the 26-year-old having previously worked with him during his time at Burnley.
Cornet has struggled to nail down a regular starting spot at West Ham since joining the club for around £17m just 12 months ago, starting just two of his 14 Premier League appearances last season, while he has only made one substitute outing so far this campaign.
The Daily Mail reports that Everton have opened talks with the Hammers to sign Cornet, with the Toffees keen to take the winger on an initial loan deal.
Cornet impressed during his one and only season at Burnley in 2021-22, scoring nine goals in 26 Premier
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