There had been reports that the Frenchman faced up to two months on the sidelines after hurting his groin last Friday.
However, Rs boss Redknapp has rubbished those claims and says Remy will return at the Liberty Stadium providing he is satisfied the injury will not be aggravated.
"He's close to being fit for Saturday," Redknapp said. "He trained this morning, he's very close.
"But I don't want to rush him in case he breaks down."
Remy joined Rangers from Marseille last month in an £8million deal and scored on his debut against West Ham.
Meanwhile, QPR chief executive Phil Beard admitted that relegation from the Premier League could hinder the club's hopes of building a new stadium.
"Premier League stability is important," said Beard. "We share a training ground that isn't right. We will build a new one.
"A new stadium is a long term goal. We have great fans but we need to grow that fan base to fill it.
"It is going to be a minimum of four of five years before we have a new stadium."
Redknapp added: "You only fill stadiums if you are in the Premier League."