The French midfielder, who has scored five goals this season, faces three months on the sidelines with the ankle injury he suffered against Everton on Saturday.
Payet has taken to Instagram to give an update on his recovery - accompanied by footage of the crunching tackle on him by James McCarthy which caused the damage.
He wrote: " Hey guys just a little feedback
Just wanted to say that I'm recovering
"I'm gonna work even harder and I will be back stronger
See you soon Hammers."
Ecuador forward Enner Valencia was also injured against the Toffees and will see a specialist next week to determine the extent of his ankle problem
Hammers co-owner David Sullivan was not impressed by some of Everton's challenges during the 1-1 draw at Upton Park
He told the club's website: " I thought some of the tackling by Everton was strong and I was amazed it took so long for them to get a yellow card
"We've ended up with two badly injured players
Some weeks the challenge on Payet would have been a red card and his injury changed the game for us."
Source : PA
Source: PA