The Hammers sat fourth in the table ahead of today's clash with Stoke City after a famous victory against Manchester City.
And former Spurs boss Sherwood feels no one other than Sam Allardyce could have achieved such a feat at West Ham United.
The 45-year-old was full of praise for Allardyce, as well as Newcastle United boss Alan Pardew, who also beat City earlier this week.
"Sam Allardyce is another who turned his situation around," Sherwood wrote in his weekly column for the Independent.
"I can’t think of another manager who, at this time, could have got West Ham to fourth in the Premier League after nine games.
"Why do managers like Alan and Sam carry on? They love it. They do it for those moments when they beat a team like City and that feeling at the final whistle. Nothing beats it."