Concerns are growing around the London Stadium, that West Ham could drop into the Championship, with their form currently poor.
However, Sherwood insists that West Ham will not be in the bottom three by the end of the campaign.
The former Tottenham boss said: “West Ham aren’t going down. Slaven Bilic would have saved them. There’s not a chance, with that squad, that they’re going down.”
Despite Sherwood’s protestations that West Ham are in no danger of facing the drop, they are currently in the relegation zone.
The Hammers are currently in 18th place in the Premier League table, and have failed to win any of their last six league matches.
The appointment of David Moyes does not seem to have had the desired impact, with West Ham failing to win either of the Scottish boss’ first two games in charge.
Moyes’ side are next in action on Wednesday evening, when they take on Everton at Goodison Park.