Redknapp has been a long-term admirer of Remy having tried to sign him when he was in charge of Tottenham and he admits their position in the league will decide whether or not they move for the Frenchman in January.
"I was interested in Remy at Tottenham but that was then. It's a different situation now. He would be expensive," admitted Redknapp.
"It all depends where we are in January depends how are we are going."
Redknapp added: "I'm not looking at January. It's about now. There are games between now and the window that will decide where we're going.
"If we don't pick up some points and wins in that period, what's the point of putting yourself in trouble trying to buy players?
"That way you could get lumbered with a big wage bill for next season. It's not the situation we want.
"We need to pick some points up. If we're in the mix then we can take a look at it again in January.
"I haven't discussed players with anyone - the chairman or chief executive.
"We need to win matches now. What happens in January is way off. I've not looked at targets for January."