Reports have linked Fulham with the 30-year-old, no longer first choice for the Italian side.
Stekelenburg's agent, Rob Jansen, said that no bids had been made for the international's services but he stopped short of completely ruling out a move away from Roma.
"I spoke with (Roma general director) Franco Baldini, and at the moment there is no possibility that Stekelenburg leaves Roma," Jansen told Calciomercato.
"There are no offers from other clubs, but we are at the beginning of January and everything is still possible."
Fulham manager Martin Jol could be in the market for a long-term successor to current first-choice stopper Mark Schwarzer, 40, and worked with Stekelenburg while in charge of Ajax.