The likes of Stoke, Sunderland and Everton are all thought to be keen on landing the 30-year-old, who has won 42 caps for England.
Pavlyuchenko's agent, Oleg Artemov, has been looking to hold talks with Spurs chairman Daniel Levy regarding a new contract for the Russian, but the club's supremo has been too busy for a meeting.
Artemov believes the White Hart Lane outfit need to sell players and that Crouch, formerly of Liverpool and Portsmouth, is very much a man in demand.
"I expect to talk nearer to the transfer window's closing time," explained Artemov in the Daily Star. "At the moment he is too busy.
"He needs to sell players and to buy new ones. Two or three teams are interested in Peter Crouch.
"So he is most likely to be the one of the five Spurs attackers to leave."