Marcus Bettinelli is in talks with Fulham over a new contract, according to Sky sources.
One source has told Sky Sports News that the goalkeeper has been offered a new four-year deal at Craven Cottage, but is yet to put pen to paper.
Chelsea expressed an interest in signing Bettinelli earlier in the summer, but have since signed Willy Caballero as back up to Thibaut Courtois.
Fulham have also turned down repeated offers from Bristol City and Nottingham Forest for their No 1.
Bettinelli played a key role in Fulham's end of season surge for the 2016/17 Sky Bet Championship play-offs, featuring in their final six league matches of campaign.
The 25-year-old, capped once at England U21 level, also played in both legs of Fulham's play-off semi-final against Reading.
Bettinelli, a product of the Fulham academy, has two years remaining on his existing contract.