Remy has long been on Redknapp's radar after he watched the France international during his days at former club Nice, who he left in 2010 in order to move to the Stade Velodrome.
Spurs have been linked with a swap bid for the 25-year-old which would involve Roman Pavlyuchenko moving to France, although Remy's agent does not believe that is feasible.
Redknapp, though, is continuing to monitor the £20million-rated Marseille star during January along with the likes of Ba and reported interest in Blackburn pair Chris Samba and Junior Hoilett.
Asked about Remy ahead of Wednesday's Premier League match against Everton, the Spurs boss said: "He is a good player.
"We could have had him a couple of years ago, to be honest with you.
"He has pushed on. He was a player we looked at and I watched him a couple of times at that stage, but he went to Marseille.
"There is interest there. But that is as far (as it goes). At the moment, there is nothing more than that."
Amid Spurs chairman Daniel Levy's considered approach to transfer markets over recent years, Redknapp has said he will only look to sign a player who could 'make a difference'.
The Tottenham boss has made it clear he wants to have four competing strikers in his squad and it is thought he would be keen to offload Pavlyuchenko in order to sign a replacement.
Remy is among the contenders, but so is Newcastle striker Ba, who scored 15 goals prior to departing for the African Cup of Nations earlier in January.
Redknapp last week increased speculation about the Senegal international after claiming there is a buyout clause, reported to be £7million, within the striker's contract.
And the Tottenham boss has again indicated he is paying attention to Ba, adding: "I keep hearing conflicting stories about the buyout clause.
"One person says one thing and (then) somebody comes on and says he can be bought out for X amount.
"I think the only people that probably know are Newcastle and Demba Ba."
