The veteran comes off contract in June.
The Mirror says the Rs have headed the list of suitors for a while.
However, QPR will have to get through the play-offs to stand a chance of signing Ferdinand. There are also possibilities abroad with LA Galaxy preparing an offer along with Turkish clubs Galatasaray and Besiktas.
But Ferdinand – who endured a frustrating time under the David Moyes regime – feels he can still cut it in the Premier League.
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