Reports in Italy claim that the Cottagers have already agreed the transfer of the Dutch international from Roma.
30-year-old Stekelenburg almost joined Fulham on transfer deadline day in January, and it does now appear that Martin Jol is closing on his capture.
However, the player's agent Rob Jansen insists that the move is not yet agreed.
"Maarten to Fulham? At the moment there is nothing. It's still early, we have to wait," he told Calciomercato.