The Brazilian has been limited to a handful of Capital One Cup matches this term, after falling down the pecking order under manager Andre Villas-Boas
This has led to reports that he could be sold, with Italian giants AC Milan believed to be interested.
As well as the San Siro club, there are multiple interested parties from Holland, where the stopper played before moving to London.
Gomes has reportedly declared his willingness to leave this month as he looks to get his career back on track.
It is thought that Spurs would be willing to allow the 31-year-old to move on, with Hugo Lloris and Brad Friedel firmly established as first and second choices.
AC Milan are thought to see the shot-stopper as an ideal recruit as they look to rebuild after selling a number of top players in recent times.
They are reportedly keen on Newcastle’s Tim Krul, but Gomes would certainly be a more cost-effective option.
The former PSV Eindhoven man arrived in North London during 2008, establishing himself as a favourite of the club’s supporters.
However, a series of shaky displays saw him lose his place in the starting XI in recent times.