Sam Allardyce guided West Brom to a crucial 3-2 win at Wolves in the Premier League while fellow strugglers Brighton also celebrated a big away win at Leeds.
A goal by Neal Maupay gave Brighton a 1-0 win at Leeds to pull them away from the relegation zone while West Brom won 3-2 at Wolverhampton Wanderers for their first victory under Sam Allardyce.
Mason Mount gave Chelsea a 1-0 win at 10-man Fulham while Michail Antonio scored the only goal as West Ham beat Burnley 1-0 to go ninth.
After nine games without a win, Maupay won it for Brighton at Leeds after just 17 minutes, enough to lift them up to 16th, now five points above the bottom three. Leeds stayed 12th.
At Wolves, two penalties from Matheus Pereira helped the Baggies earn a 3-2 victory at their biggest rivals and prompted hopes that Allardyce could lead one of the rescue acts that has seen him dubbed 'Fireman Sam'.
The result means West Brom are now one point behind third-bottom Fulham and five points from safety.
"Overall it was a fantastic victory. It was the (number) of chances we created which pleased me most. I haven't seen us create that many chances," said Allardyce.
"A win was very important at this moment in time. The attitude, work-rate and determination of the players, that's brought us a big, big victory."
Wolves manager Nuno Espirito Santo was dejected, not least since his side had overturned Pereira's first penalty with Fabio Silva and Willy Boly making it 2-1 just before half-time.
But Semi Ajayi levelled soon after the break for West Brom and Pereira then won it for the visitors with a second penalty 35 minutes from time.
Fulham's hopes of getting anything from their west London derby at home to Chelsea ended when Antonee Robinson was sent off for a nasty challenge on Cesar Azpilcueta.
Mount scored the only goal 12 minutes from the end to secure Chelsea's win, lifting them to seventh, but only seven points behind leaders Manchester United, who play at second-placed Liverpool on Sunday.
Antonio's goal for West Ham left Burnley 17th.
"We're not the old West Ham any more, we're the new West Ham," manager David Moyes said. "And we're going to try to become even better."