West Ham, Leeds and Crsytal Palace are all locked in a battle to sign the dazzling 22-year-old who is regarded as the most naturally gifted player outside the Premier League.
QPR have told clubs tracking Eberechi Eze not to waste their time with offers under £20m
Tottenham have also been tracking Eze, who scored 14 and recorded a further 14 assists last season in a QPR side which struggled without him in the Championship.
Bosses at the Kieyan Prince Stadium are resigned to the fact Eze – who scored a stunning goal against West Brom on Tuesday – has played his last game for the club and know they will not be able to stop him playing Premier League football.
But they also know he has a market value and are not prepared to even entertain offers from top flight clubs which are realistic.
When West Ham signed Jarrod Bowen from Hull in January they paid £20m – and given his success at the London Stadium since then they feel that kind of figure is where bidding should start.
And QPR now hope there is enough competition for their star player to help spark a bidding war which would drive up the fee.
Championship king Leeds want playmaker Eze to lead their return to the Premier League.
Marcelo Bielsa has identified the exciting England Under-21 international as the creative spark his team will need next season.
Sunsport revealed Leeds first declared their interest in Eze in January and told QPR that they would come in with a firm bid if they were promoted.