West Ham United are currently in 15th place in the Premier League table.
West Ham have improved in recent weeks, but they are still lodged in the thick of the relegation fight.
The Hammers are only two points clear of the drop zone, but Sherwood believes that they have too much quality to go down.
He said: “If West Ham can keep Arnautovic, Lanzini and Carroll fit and playing on a regular basis, they will win enough football matches to nearly get the safe.”
West Ham have improved massively since Moyes took charge, with their results now starting to take them clear of the drop zone.
The Hammers picked up another credible point last night, as they drew 1-1 with Tottenham Hotspur at Wembley.
West Ham were on the back foot for much of the contest, but a belter from Pedro Obiang helped them collect a draw in the London derby.
The Hammers have now climbed up to 15th in the Premier League table, and their performances are starting to build confidence at the London Stadium.
West Ham’s next Premier League match comes in two weekends’ time, when they take on Huddersfield Town.
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