L'Equipe says QPR are making a bid for the Ghana international, whose brother Jordan is also wanted by Premier League clubs.
Ayew is inside the final year of his OM deal and made it no secret he wants to continue his career in England.
If successful, QPR's deal for Ayew will end their interest in Tottenham winger Andros Townsend.
Still 24, Ayew has spent his entire career contracted to Marseille and is the son of Ghanaian legend Abedi Pele.
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