Match ends, West Bromwich Albion 1, Swansea City 1.
West Brom caretaker manager Darren Moore praised the "first class" response of his players as they ended their eight-game losing streak by drawing with Swansea.
The Premier League's bottom side remain 10 points from safety with five games left after Jay Rodriguez's second-half goal was cancelled out.
Swansea took a point in their own fight for survival courtesy of Tammy Abraham's headed equaliser.
"I'm really delighted even though we couldn't hang on for the win," said Moore, who is in charge after the Baggies parted company with Alan Pardew earlier this month.
"I've had three days to work with them and I thought the players were first class.
"They did what I asked them to do and we almost came away with a good three points."
Moore's side were kept out by an impressive display from visiting goalkeeper Lukasz Fabianski, who denied top scorer Rodriguez and Chris Brunt - before Rodriguez eventually put them ahead when he poked in Salomon Rondon's flick-on.
Carlos Carvalhal's side stay 15th in the table - and four points clear of danger - after on-loan striker Abraham rose above marker Jake Livermore to head in a Sam Clucas corner.
It could have been better for the visitors, but striker Andre Ayew spurned a great chance, shooting wide after being played in by Clucas during an otherwise drab first half.
The only other opening had come when Albion midfielder Brunt struck a powerful drive that Fabianksi beat away.
Plenty to work on for Moore
West Brom almost got the immediate new manager bounce they would have been hoping for after parting company with Alan Pardew five days ago.
Popular former defender Moore took the reins with a call for unity and renewed fight - even if he admitted before this match that relegation looks likely.
That fate remains on the cards despite an improved first half from the hosts against a sluggish Swansea.
Moore can take heart from the fact Rodriguez's goal came from a slick move - Matt Philips crossing for Rondon to flick on to Rodriguez to convert at the back post - and even more from his players' heads not dropping when Swansea levelled.
Circumstances are bleak at The Hawthorns. They face the prospect of losing a clutch of players on the cheap should they go down.
Rondon, captain Jonny Evans, and at least two other players have relegation release clauses meaning they could move for fixed prices below their current value, which will add to the financial impact if they lose their top-flight status.
But Moore spoke afterwards about stopping the rot and that remains his brief in the short term.
As a former defender he might be frustrated that they conceded from Swansea's only effort on target, and that it was such a basic failure to properly mark Abraham.
But mathematically they still have a chance of staying up - and if he can help them cut out those errors, the most unlikely of survivals remains at least possible.
Swans must improve for tough run-in
Little by little Swansea's revival under Carvalhal continues.
The charismatic Portuguese took over in December, winning five of his opening 10 Premier League matches and raising a smile with his colourful post-match metaphors.
The Welsh club were four points adrift at the bottom of the league before Carvalhal's appointment, but are now four above the relegation places.
However, their form on the road remains patchy - they have won just one of their past 15 Premier League away games, losing nine.
And this was far from convincing as Swansea - who lost defender Mike van der Hoorn to injury - laboured against the division's worst side.
Even Abraham's first league goal since October was only a brief, if pivotal, moment of purpose.
Their remaining six fixtures feature Manchester City and Chelsea, along with two other sides fighting for survival in Stoke and Southampton.
It is a tough run-in and the Swans are going to have to do far better than this if they are to keep daylight between themselves and the Saints, who are 18th.
One positive was the display of Clucas, who created their best chance - wasted by Ayew - and delivered the goal.
West Brom keep dropping points - the stats
- West Brom have lost 26 points from winning positions in the Premier League this season, the most by a club in a single campaign since the 2012-13 season (Southampton 29 and Aston Villa 28).
- Swansea scored with their only effort on target in this match. They have had just 75 shots on target in the Premier League this season, fewer than any other side.
- Abraham's goal was his first in the Premier League since October, ending a run of 17 games without scoring in the competition.
- Rodriguez has scored six Premier League goals this season - only in 2013-14 (15) has he scored more.
- Rondon has either scored or assisted a goal in four consecutive Premier League games for the first time.
- James McClean has failed to finish on the winning side in his past 23 Premier League games, the longest current run in the competition.
Man of the match - Sam Clucas (Swansea)
'They showed character to dig in' - what they said
West Brom caretaker boss Darren Moore: - "I'm always one for if you don't win the game, you don't lose the game - but I'm really pleased they showed character to stay in it, dig in and work well with each other.
"One game at a time. We've come through this one with an overall team performance against a well-organised Swansea team that carries a threat. The way we played today was very good."
Swans boss Carlos Carvalhal: "I am pleased. After the game, we didn't talk too much about it but we knew West Brom would still be a difficult game even though they changed the manager.
"We must do better in the first half when we have the ball, but after the goal, we react and have a lot of strength in our head. The team had a fantastic reaction. We didn't give many opportunities to them in return to create chances.
"We aim to collect points with a good number and this is one more. We wanted more but luckily for us, we had time to react and collect one point."
West Brom head to Old Trafford to face Manchester United next Sunday (16:00 BST), while Swansea host Everton at the Liberty Stadium on Saturday (15:00).
- 10PhillipsBooked at 87mins
- 11BruntBooked at 50mins
- 14McCleanBooked at 90mins
- 19RodriguezSubstituted forKrychowiakat 83'minutes
- 5van der HoornSubstituted forBartleyat 45'minutesBooked at 90mins
- 19A AyewSubstituted forKi Sung-yuengat 85'minutes
- 24KingSubstituted forDyerat 61'minutes
- 17ClucasBooked at 55mins
- 4Ki Sung-yueng
- Roger East
- Shots on Target
Second Half ends, West Bromwich Albion 1, Swansea City 1.
Foul by Grzegorz Krychowiak (West Bromwich Albion).
Sam Clucas (Swansea City) wins a free kick in the defensive half.
Kyle Bartley (Swansea City) is shown the yellow card.
James McClean (West Bromwich Albion) is shown the yellow card for a bad foul.
Foul by James McClean (West Bromwich Albion).
Tom Carroll (Swansea City) wins a free kick in the defensive half.
Delay over. They are ready to continue.
Delay in match Martin Olsson (Swansea City) because of an injury.
Matt Phillips (West Bromwich Albion) is shown the yellow card for a bad foul.
Foul by Matt Phillips (West Bromwich Albion).
Martin Olsson (Swansea City) wins a free kick in the defensive half.
Offside, West Bromwich Albion. Ahmed Hegazi tries a through ball, but Grzegorz Krychowiak is caught offside.
Attempt blocked. Chris Brunt (West Bromwich Albion) left footed shot from outside the box is blocked.
Attempt blocked. Jake Livermore (West Bromwich Albion) right footed shot from outside the box is blocked.
Substitution, Swansea City. Ki Sung-yueng replaces André Ayew.
Offside, Swansea City. Sam Clucas tries a through ball, but André Ayew is caught offside.
Substitution, West Bromwich Albion. Grzegorz Krychowiak replaces Jay Rodriguez.
Attempt missed. Matt Phillips (West Bromwich Albion) left footed shot from outside the box is too high.