six games without a league success.
The impressive Eden Hazard claimed the game’s only goal in the 22nd minute with a header from a right-wing cross by Ramires, who later hit the post.
“They are the best at the way they play,” said Mourinho of West Ham.
“It is not just to play football — the pressure, the tension and the emotion. My players were fantastic. We couldn’t kill the game and these three points are massive for us.”
Champions City preserved the status quo at the top with a home victory over bottom club Leicester that followed painful consecutive defeats by Barcelona and Liverpool.
City, who dropped out-of-form captain Vincent Kompany, took the lead in first-half stoppage time when David Silva followed in to score after he and Wilfried Bony had seen shots blocked.
James Milner sealed victory two minutes from time by smashing home a cross from Jesus Navas.
Third-place Arsenal also won, prevailing 2-1 at third-bottom Queens Park Rangers to remain four points below City.
Olivier Giroud poked home a cross from Kieran Gibbs in the 64th minute and Alexis Sanchez doubled Arsenal’s lead with a solo effort five minutes later — his first goal in eight games — before Charlie Austin replied for QPR.
Liverpool extended their unbeaten run to 11 matches by overcoming second-bottom Burnley 2-0, which took Brendan Rodgers’s side back above Southampton and into fifth place.
Jordan Henderson followed up his stunning goal from Sunday’s 2-1 defeat of City with a 29th-minute opener from the edge of the box and then teed up Daniel Sturridge for a 51st-minute header.
Gomis’s dramatic collapse caused a moment of grave concern as Spurs reacted to their League Cup final defeat by edging Swansea 3-2 at White Hart Lane.
The Frenchman fell to the ground shortly after Nacer Chadli had volleyed Spurs ahead in the seventh minute and had to be given oxygen before being carried off on a stretcher and taken to hospital.
The 29-year-old had fainted on three occasions during his time with previous club Lyon due to a vasovagal condition and manager Garry Monk allayed fears about his health after the game.
“Bafetimbi Gomis is fine. He went to hospital as a precaution, but he is fine. That’s the main thing,” Monk said.
“We understand his history. He has had all the tests, but it’s just part of life for him.”
Ki Sung-yueng equalised for Swansea in the 19th minute, but second-half goals from Ryan Mason and Andros Townsend were enough to give Spurs the win despite a late effort from Swansea midfielder Gylfi Sigurdsson. Meanwhile, Victor Moses and Mame Biram Diouf scored as Stoke City beat Everton 2-0.