The 26-year-old is believed to have cost the club £8million and there will be significant expectations that he is able to score the goals that the south London club have been missing so far this season.
Redknapp's men are the joint lowest scorers in the division, level with Aston Villa on 17 Premier League goals and bet365 offer 8/11 (1.73) that the former Marseille forward manages five or more league goals this season.
Punters who think Remy won't be an immediate hit can back him to score less than five league goals at Evens (2.0).
In two and a half seasons with Marseille Remy hit 39 goals in 95 appearances in all competitions - albeit he failed to score in his eight Ligue 1 appearances this campaign - and the calibre of opposition in the Premier League mean bet365 believe he is unlikely to find the net as regularly for QPR.
With striker Andrew Johnson out for the long term with a knee injury and Bobby Zamora still recovering from a spell on the sidelines, Redknapp's options in the final third are limited.
Jamie Mackie, Jay Bothroyd and Djibril Cisse have all been used in their absence but none have managed more than three Premier League goals.
With just 16 league games left in the season, the line of 4.5 goals may seem high but if the France international - who also has four goals for his country - can replicate the kind of form that he has shown for Marseille at times in the last three years, he could be the man to help save QPR from dropping into the Championship in May.
Despite the intent by Redknapp in the transfer market QPR are still 1/2 (1.50) to be relegated and 2/1 (3.0) to finish bottom of the Premier League with bet365.
|Under 4.5 Premier League Goals at Evens (2.0) with bet365||Over 4.5 Premier League Goals at 8/11 (1.73) with bet365|
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Jim Knight is Betting Editor at Goal.com and has been tipping football games since he was old enough to place a bet. He is a Leicester City fan, writer and member of the We Are Going Up Podcast
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