Harry Redknapp attempted to sign Krasic in January but a deadline-day deal failed to materialise.
However, the player's agent has said he is likely to go at the end of the season and it is thought his first choice would be a move to White Hart Lane.
His agent, Vlado Borozan, told TMF: "Surely he will leave at the end of the season. We're already discussing it."
Spurs will face a battle with plenty of other clubs, though, if he does decide to move on with considerable interest in him in Russia, where he used to star for CSKA Moscow, and also teams in Italy and England tracking his position.
Krasic, who has almost 50 caps for Serbia, would provide extra competition down the right wing at Spurs for Aaron Lennon, although with boss Redknapp's position uncertain, no deal will be done yet.
Tottenham last week