The 21-year-old Belgian international is one of the most highly coveted forwards in all of Europe, with Premier League rivals Manchester United, Arsenal and Chelsea also reportedly interested in the player's signature.
"I don't know. I like him, he's a fantastic player but I don't know where the club's at with that," the 65-year-old told reporters. "The chairman will deal with that.
"Daniel [Levy], if anyone's talking to Lille it will be the chairman, not me. He's a player that obviously I watched him an awful lot and he's a real talent but only the chairman would know where we are with actually getting the player.
"I wouldn't have a clue whether we're close, a million miles away or anything else at the moment."
Tottenham's hopes of securing automatic qualification for next season's Champions League have been cast into doubt following three straight league defeats, allowing north London rivals Arsenal - who currently occupy fourth spot - to close the gap on them to just one point.
However, Redknapp has rejected any suggestions that the club's chances of signing Hazard depend solely on their inclusion in Europe's top tier competition next year.
"For sure, they want Champions League football, don't they? But it doesn't mean top players won't go to Chelsea if they don't make [the] Champions League," he continued. "It don't mean top players won't go to Arsenal if they don't make Champions League.
"They still go there because they're going to a big club in London, a big club in England and they get the wages they want so they still go.
"People aren't going to go 'I'm not going to Chelsea if they don't make the Champions League' - they know Chelsea will invest again next year and will make Champions League.
"Tottenham will keep trying to make the Champions League, so will Arsenal, so I don't think it works that way - I think people get carried away with that one."