Traore is in London receiving treatment after he picked up a leg injury.
It’s suggested his condition is worse that first anticipated and he could now miss the Africa Cup of Nations.
“Traore is not [back] yet back, he’s in London,” Ajax coach Peter Bosz told reporters.
“He’s still being treated. The injury was worse than the symptoms suggested.
“With the injury I can’t be sure whether Traore will be with Burkina Faso to participate in the Africa Cup.
“If he can’t play with us, he will not be able to play there.