The Cottagers have been linked with a move for the 30-year-old as Martin Jol looks to find a long-term replacement for veteran shot-stopper Mark Schwarzer.
Stekelenburg is currently out of favour at Roma, with i Lupi manager Zdeněk Zeman starting Mauro Goicoechea ahead of the Dutch star.
But the former Ajax goalkeeper’s agent Rob Jansen insisted there have been no “concrete” bids submitted for Stekelenburg and expects his client to stay at the Rome outfit.
“At the moment there are just rumours and journalistic speculation,” Jansen told calciomercato.it.
“We have yet to receive a concrete offer, so it is therefore probable that he will stay at Roma in January rather than leave.
“We know what is moving in the goalkeeping market, but nothing has been decided.”