The west London outfit axed Mark Hughes on Friday following 12 consecutive Premier League games without a win, a record that has seen them fall to the foot of the table.
Redknapp was immediately installed as the hot favourite to take the job and his agency corroborated speculation that he would be approached.
"Contact has been made between QPR and us as Harry Redknapp's representatives," a spokesman for Paul Stretford's Triple S Sports and Entertainment company told reporters.
|GETTING WORSE BEFORE BETTER|
|22/1||QPR are 22/1 with Bet365 to lose 5-1 to Manchester United|
The former Southampton and Portsmouth boss has been out of work since being relieved of his duties at White Hart Lane in June, apart from a brief role as an advisor to another of his former teams, League One side Bournemouth.
The London-born manager was also in the frame to replace Oleg Blokhin as the Ukraine national coach, with the country's football federation declaring its interest.
However, it now looks as if a Premier League return is the most viable option, with the west Londoners facing a tough clash with Manchester United at Old Trafford on Saturday.
QPR, who are four points from their closest rivals at the foot of the table, are in a similar position to that of Spurs in October 2008, when Redknapp took over in north London and led them away from the relegation places.