Attention now has shifted to ex-Spurs and Liverpool frontman Robbie Keane.
The Republic of Ireland international has just toasted another MLS Cup victory with LA Galaxy, freeing him up for the winter.
It has been suggested that a proven goalscorer could be lured back to the Premier League on loan, with a three-month deal mooted.
Loftus Road would be a logical destination for Keane, as he has previously excelled under the guidance of Redknapp during their time together at White Hart Lane.
The QPR boss has, however, sought to play down reports of an imminent approach, despite admitting to being in the process of piecing together his plans for January.
Redknapp: "We've not made an enquiry for Robbie Keane. I've not spoken to Jermain Defoe either." #EVEvQPR— QPR FC (@QPRFC) December 11, 2014
Redknapp: "If we can get 1 or 2 players in that would be great. We certainly need a couple of additions in January" #EVEvQPR— QPR FC (@QPRFC) December 11, 2014
Keane sits 12th on the list of all-time Premier League goalscorers, having netted 126 times in the English top-flight.
Those efforts have been spread between Coventry City, Leeds United, Tottenham, Liverpool, West Ham United and Aston Villa.
He decided to chase the American dream in 2011, linking up with David Beckham in Los Angeles.
His spell at Aston Villa in 2012 suggests that he may be open to speaking with QPR, with it difficult to turn down enticing loan opportunities when offers are tabled.