The R's boss is in line for a new contract after chairman Tony Fernandes indicated earlier this week that his manager would be offered fresh terms at Loftus Road.
Fernandes is looking for stability at the club after a couple of up-and-down seasons that featured a number of managers and a huge turnover of playing staff.
And Redknapp said that such is his happiness with life at Loftus Road that he would pen the new deal without even looking through the small-print on his two-year offer.
Speaking to reporters in his weekly press conference, the R's boss said: "Tony Fernandes has offered me an extension of two years. I'll sign it and won't even read it.
"He's been asking me for a little while, I have just not got round to doing it. Maybe today, if they put it in front of me I'll sign it."
QPR have begun their new Premier League season with back-to-back defeats against Hull City and Tottenham Hotspur and they were also knocked out of the League Cup by lowly Burton Albion in midweek.
They host Sunderland this weekend, and they will be determined to get some points on the board against the Black Cats who themselves are yet to win this term.
Gus Poyet's side have drawn both their games with a 1-1 stalemate at home to Manchester United following the opening day 2-2 draw away to West Bromwich Albion.