If Grant fails to win one game out the next three, the Israeli will be next for the sack.
Time is running out and with only one win in eleven matches, the pressure is on with West Ham currently three points adrift at the bottom of the table.
It is understood that Avram wants to sign three players in the January window but the club are reluctant to spend if he fails to pick up points over the festive period.
A senior source at club said; "If we didn't win once by the turn of the year then there would have to be a change before the start of the January transfer window to give a new manager a chance to make the changes he wanted,"
