The Sun says Warnock is weighing up a £2million bid for McAnuff.
Reading winger McAnuff was wanted by Warnock last summer but Royals chief Brian McDermott rejected a £1.5m offer.
But the Hoops supremo remains a big fan of the 29-year-old, who has just one year left on his Madejski contract.
New Birmingham boss Chris Hughton is also monitoring the situation.
But a source said: "Jobi would love to have a crack at the Premier League League.
"He's had his entire career in the Championship. He loves Reading so QPR need to make a decent bid."