West Ham say they have "100 per cent faith" in manager Slaven Bilic and his ability to lead the club.
In the wake of a 2-1 loss to Hull which leaves the Hammers six points off the drop zone with eight games left, the club's hierarchy moved to back their manager.
Amid reports about his future, a statement from the West Ham board said: "To end speculation once and for all, the West Ham United Board feel it necessary to announce that we have 100 per cent faith in Slaven Bilic's ability to lead West Ham United."
"Despite press speculation to the contrary, the manager's position is not under threat. The board know that Slaven and his coaching staff have the full backing of the playing squad and the overwhelming majority of supporters to lead West Ham United out of this difficult spell," the statement continued.
"The board now urge all supporters to unite behind the manager, his staff and the squad as we go into some important games. We all have complete confidence in their ability to end a testing run of results and finish the season on a high."
West Ham have picked up just two points from their last six games and are on a run of four successive defeats. They are next in action on Wednesday when they face Arsenal at the Emirates Stadium.
The backing from above comes as Bilic warned his side they must stop conceding goals from set-pieces if they are to avoid a Premier League relegation fight.
Andy Carroll's 50th Premier League goal gave West Ham a deserved half-time lead at Hull on Saturday, but the home side hit back through Andrew Robertson and Andrea Ranocchia to clinch a 2-1 win.
"You can't say that we were a flat team or whatever," said Bilic. "We were very motivated, we were very up for it.
"But as I said you can't concede like this, especially late in the game and especially from the set-pieces because we've conceded more than a few recently.
"We are working on that. Big time."
Asked if he was confident he could turn the club's fortunes round, Bilic added: "Of course we can.
"But we have to do that. It's still very open. The guys below us are closing the gap and it's up to us.
"We have a chance in every game, but nobody's going to do that apart from us. We have to do it."
Hull, meanwhile, sealed their fourth win in five unbeaten home league games under head coach Marco Silva.
Left-back Robertson scored his first Premier League goal and centre-half Ranocchia headed his first for the club since arriving on loan from Inter Milan in January.
Silva replaced out-of-sorts skipper Curtis Davies with winger Kamil Grosicki at half-time and, not for the first time since arriving in England at the turn of the year, the Portuguese was rewarded for his tactical switch.
Grosicki played in Robertson for his 53rd-minute equaliser and supplied the corner for Ranocchia's towering 85th-minute winner.
"We were poor in the first half and the manager gave us a deserved rollicking at half-time," Robertson told the club's official website.
"He changed things and Curtis Davies was the unfortunate one who made way for the change in formation.
"We were much better in the second half with Grosicki and (Lazar) Markovic causing West Ham problems on the wings."
Relegation rivals Middlesbrough visit the KCOM on Wednesday in the latest chapter of the Tigers' bid to escape the drop.
"Our home form has been good since the manager came in and we need to keep it that way," Robertson added.
"Our away form has been disappointing and we know that we need to pick up points on the road as well, but for now we must prepare for another big home game on Wednesday night."