The Spurs' supremo continues to be linked with a move for the former Manchester United talisman - who netted 95 Premier League goals in 150 appearances for the Red Devils.
However, while Redknapp admitted that he would be keen to recruit him during the winter transfer window, he insisted that he already has four strikers - Jermain Defoe, Peter Crouch, Robbie Keane and Pavlyuchenko - on his books and would need the latter to leave the club if any deal was to come to fruition.
"It's an interesting one. Van Nistelrooy is a fantastic player with a proven goalscoring record in England, and if he was available it could be of interest to us," he said.
"But I've already got four strikers and if I ended up trying to keep five of them happy, that's a problem I could do without.
"Pavlyuchenko is looking to move, and I could only do something with Van Nistelrooy if someone came in for Pav and he decided to go."
Pavlyuchenko scored 14 goals in his debut season for Spurs after arriving from Spartak Moscow in August 2008.
But he has since fallen behind Defoe, Crouch and Keane in the pecking order, and has featured just seven times to date in 2009/10.
Former UEFA Cup winners Zenit St Petersburg are reportedly interested in taking the unsettled Russian back to his homeland.
