Ayew, 25, is out of contract at the end of the season, and is reported to be keen to leave Marseille for a fresh challenge in England.
The French club have offered the Ghana international an extension, but on reduced €200,000-per-month terms which he is doubtful to accept.
Linked to various Premier League clubs since the summer, the French-born attacker was the subject of an approach from Queens Park Rangers during the closing stages of the transfer window, but the west London outfit couldn't agree a deal in time.
The Black Stars vice-captain has since impressed at the African Cup of Nations, and his performances while leading his side to the runners-up spot are said to have attracted interest from several major European sides.
Everton, Liverpool and Newcastle are understood to have been in talks with his entourage about signing a pre-contract agreement, while Borussia Dortmund have also entered the race for his signature this month.
The son of former Marseille star Abedi Pele, Ayew has made 194 total appearances for the club since his first-team debut in August 2007, while recording 53 goals and 22 assists in the process.
He netted three times in 15 Ligue 1 games this season before heading off to AFCON and, with his club sitting just two points off leaders Lyon in second-place after 24 matches, is expected to be a core part of their title push over the coming months.