Hurst is hopeful Allardyce will be given a new deal.
"I'd like to think for the sake of continuity he'll stay on," he said. "I don't know the background. People are saying that at this stage they should be talking but there are issues.
"The first is that it remains to be seen if they stay in the top flight. If they stay in the top flight, which they look like doing, then I'd be the first to say carry on Sam.
"Most West Ham fans would have said if we can stay out of the bottom three at the start of the year then we'd be happy.
"Here we are lingering mid-table which we've looked like doing all season with a limited squad and restrictions including injuries to some players in key positions.
"I do hope he continues."