Yossi Benayoun has signed a short-term contract with QPR following a successful trial at the club.
Bayern Munich boss Pep Guardiola has warned Manchester City off making a move for goalkeeper Manuel Neuer.
Derry has spent the last month with Steve Lomas' Lions having dropped down the midfield pecking order at Loftus Road.
Derry's current stint ends after Saturday's trip to Brighton but he has indicated he would like to stay on and Redknapp says he would be happy to allow the 35-year-old to remain in south London.
"It wouldn't be a problem," he said.
"If Steve wants to keep him there then he's a good pro and he'll do a good job for them I'm sure."
Meanwhile Redknapp cannot believe no clubs have come in for goalkeeper Julio Cesar.
The 33-year-old Brazilian is surplus to requirements at Loftus Road with Rangers still keen to trim their wage bill following last season's relegation.
But with Monday's transfer deadline looming, Redknapp faces having an expensive player on the bench for the season behind current number one Robert Green.
"He's a fantastic goalkeeper, and that's not just a sales pitch to try to move him on," said Redknapp.
"He's an amazing professional and a great guy. He's a goalkeeper for any big club in the world; he's the Brazilian number one, he's got every medal there is to win.
"I just can't believe one of the big clubs in the world have not come in and taken him.
"Rob has been excellent for us and we've got Brian Murphy, who's a good keeper as well, so we are very lucky on that front."