Liverpool vs West Ham - Premier League Match Preview
Bilic has the backing of the West Ham board for now and they are unlikely to consider his position before the Boxing Day trip to fellow strugglers Swansea City.
But the clock is ticking for Bilic who has seen his side struggle since their move into the Olympic Stadium in the summer.
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Slaven Bilic could be axed as West Ham boss before Boxing Day
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David Sullivan has tried to rally the West Ham fans
Hammers co owner David Sullivan attempted to get the club's fickle support to rally behind their besieged manager ahead of today's trip to title chasing Liverpool.
West Ham have only won once at Anfield in 53 years and that was last season when they completed the double over the Merseyside giants.
Another win at one of the biggest bogey grounds would be timely as they then have four big games in under three weeks.
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West Ham go up against Jurgen Klopp's Liverpool on Sunday
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They then face fellow strugglers Burnley and Hull City at the London Stadium before trips to Swansea City and Leicester City over the Christmas period.
It is then when some serious consideration will be given to future of Bilic, 48, who led the club to seventh place in their last season at Upton Park.
Former Manchester City boss Roberto Mancini is waiting in the wings to take over should he lose the backing of co owners Sullivan and David Gold.