Jermain Defoe, who played for Redknapp at Portsmouth and Spurs, is tipped to join the Hoops during the MLS off-season while Redknapp continues to chase Ferdinand and Lampard following their releases from Manchester United and Chelsea respectively.
The former Spurs forward, who has been in good form for his new side Toronto, having scored six goals in seven appearances so far, would reportedly arrive in the UK in January once the MLS season is over.
Despite his form he was left out of Roy Hodgson's World Cup squad much to his surprise.
Meanwhile Redknapp will hope to persuade his nephew, Frank Lampard, to sign but he has over 20 potential suitors to choose from so nothing will be sorted out until he returns from England duty at the World Cup in Brazil.
Redknapp recently told the Daily Mirror: “If I was Chelsea manager, I would take him back for another year, absolutely. He’s still worth his weight in gold around the place and Roy Hodgson feels the same as far as England are concerned.
“You need good characters around, whether it’s a football club or the England dressing room. His set piece delivery is still the best in the business.
“If he goes to New York, and their season does not start until March, you never know... if he’s got six months to fill, maybe he fancies a game at QPR.”
If the deal were to go ahead, Lampard would join the West Londoners for six months on a short term deal like Defoe, before he makes his expected move to MLS side New York City in January.
Redknapp is also keen to bring in former Leeds defender Rio Ferdinand, but the deal has been put on the back-burner after QPR owner Tony Fernandes had reservations over the move according to the Sunday People.
Redknapp is looking to bolster his squad after their recent promotion via the play-offs and surely knows that having three players who have played a combined 1,449 Premier League games and scored 305 goals could be crucial in their fight against relegation.