West Ham United lost 2-1 in their last match of the season against Stoke City.
Payet was not named in West Ham’s squad yesterday, as they took on Stoke at the Britannia Stadium.
The French midfielder was badly missed during the contest, but Bilic admitted that the 29-year-old was just not fit enough to play in the contest.
"It's not serious, but it was serious for this game," said Bilic. "It happened in the beginning of the game against Manchester United [on Tuesday].
"He tried to put the boot on [on Saturday] and that was really painful - it is a dodgy spot on his foot. He tried but it was very, very painful and it was impossible for him to play.”
With Payet ruled out through injury, West Ham just could not claim the three points against Stoke.
The Hammers actually had the better of the match for large portions of it, but they were punished in the second half.
West Ham took the lead through Michail Antonio, but Stoke fired back through Gianelli Imbula and Mame Biram Diouf to turn the match around.
The defeat leaves West Ham’s European hopes hanging in the balance, and out of their own hands.
West Ham now need Manchester United to win the FA Cup final to be assured of making it into the Europa League next season.