"The doc said all along it was only a minor groin injury," Redknapp told the club's website.
"We can't afford to lose him long term, so we won't take a chance on him if he's not ready."
Remy scored on his debut against West Ham last month after signing from Olympique Marseille for eight million pounds but missed last weekend's 0-0 draw with Norwich City after suffering the injury in training.
"We're in good form and looking forward to going to Swansea and giving them a good game," Redknapp said.
"We're unbeaten in five games against five very good teams.
"Swansea have bought a lot of players in. They've bought well in the market, they've invested well.
"They play great football. They've been top class this season and taken their game on to another level."
