The 31-year-old has claimed that the North London side are chasing his signature but the Spanish club's sporting director says there are no offers on the table
Jaime helped his side secure promotion to the Primera Liga last season through the Segunda Division play-offs and can boast an experienced CV having begun his career in 1998 with his hometown club - Valdepenas.
Spurs have been heavily linked with Hugo Lloris, the Lyon and France number one, to solve a problem between the sticks. Carlo Cudicini and Heurelho Gomes could both seek moves away from the club while Brad Friedel recently turned 41.
Now it is 31-year-old Jaime who claims to be the man to the rescue for new manager Andre Villas-Boas, and he is open to the opportunity of a move to further his career.
He told Sky Sports: "That is true. Spurs and other clubs are interested.
"The situation is in the hands of my agent and Valladolid. I am happy here but it is normal to desire to improve as a professional."
Reports suggest that Jaime caught the eye of Spurs scouts during last season but Valladolid sporting director, Alberto Marcos, has attempted to quash suggestions the Spaniard is close to an exit.
He said: "We still do not have a formal proposition on the table."