The veteran goalkeeper is set to return to White Hart Lane when his loan deal at Hoffenheim expires in June, but it appears he will spend the final year of his Spurs contract elsewhere.
According to Algemeen Dagblad, Twente have already expressed interest in the Brazilian shot-stopper.
The Tukkers look set to stay without first choice keeper Nikolay Mihaylov and hope to lure Heurelho Gomes to Enschede.
However, the player’s former club PSV Eindhoven are also keen, with their number one Boy Waterman also likely to leave in the summer.
Two years back, PSV couldn’t match Tottenham’s asking price for the Brazilian, but they are hoping the player will be available at a cut-back fee at the end of the current campaign.
Gomes has made 9 Bundesliga appearances for Hoffenheim before suffering a season-ending injury.