Tottenham are among a list of several tipped to sign the Frenchman - although he is odds on to stay at West Ham.
The Frenchman has been in outstanding form for the Hammers so far this term, prompting speculation as to whether he could move on this summer.
Payet is odds on to stay at West Ham but Tottenham, Arsenal, Manchester City and Manchester United all come into the bookies' reckoning regarding his future.
James Curtis of Ladbrokes said in a press release: "Payet has been a revelation at Upton Park this season and Slaven Bilic has a job on hands to keep him.
“While he’s clearly destined to reach the top we think he’ll give Irons fans at least another season before moving on, most probably to PSG.”
Next Club Odds:
To be a West Ham player on Sept 1st 2016 - 4/11
PSG - 3/1
Real Madrid - 6/1
Barcelona - 6/1
Man City - 6/1
Arsenal - 7/1
Man United - 8/1
Spurs - 10/1
All four of the above English clubs could end up in the Champions League next season, with Tottenham looking in pole position to secure a top-four place.
Arsenal currently sit in the Champions League places, too, but West Ham are gaining on Manchester United and Manchester City.