The French forward, signed for £8m from Marseille last month, missed last weekend's 0-0 draw with Norwich due to a groin injury he picked up in training.
And, while it appears that the problem is not as severe as had been suggested in some reports, Redknapp does not know whether the 26-year-old will be on duty at the Liberty Stadium.
"I am not sure about Loic Remy," said Redknapp. "We'll have a look at him and it is sort of touch and go.
"He did his groin as it was muddy out there. He went to play a ball, stretched, and felt his groin tweak. We weren't sure how bad it was but it is not that bad.
"The doctor said all along he felt it was only a minor injury, so he has got a chance for tomorrow but, if he is not sure he is OK, I wouldn't take a chance.
"With injuries like that, you can go and lose somebody for five or six weeks if they tear it so, unless he feels very confident about it, I wouldn't risk him.
"I don't think I can afford to do that because he could put himself out for quite a while."
QPR remain bottom of the Premier League table, six points from safety with just 13 games left this season, but they have drawn their last four league games, following a shock win at Chelsea, and Redknapp is hopeful they can get something from their trip to Wales.
"We're unbeaten in five games against five very good teams," he said.
"We're in good form and looking forward to going to Swansea and giving them a good game."
However, Redknapp knows the Capital One Cup finalists will present a tough test, adding: "They play great football. They've been top class this season and taken their game on to another level.
"They are a good team with an outstanding young manager (Michael Laudrup)."