West Brom are 19th in the Premier League, four points off safety, and Pardew admits the club have reached a 'critical point' in the season.
"It's small steps and today is a small step to get that winning feeling back in the changing room".
"We certainly can't be sidelined by a difficult period (for West Brom)", said Hughton.
"I think what they have is good options and that makes them very dangerous".
There is no single reason why things have unravelled at those clubs.
Jonny Evans of West Bromwich Albion celebrates after scoring his sides first goal with Ahmed El-Sayed Hegazi of West Bromwich Albion during the Premier League match between West Bromwich Albion and Brighton and Hove Albion at The Hawthorns on January 13, 2018 in West Bromwich, England.
"In battles that I've had in the past at Newcastle and Crystal Palace, the home fans determine how things will go much, much more than you might imagine".
Brighton begin the weekend three points away from that third-from-bottom team, while West Brom are a further four points less well off.
Of course, other sides - such as Celtic perhaps - could register an interest in the Northern Irish attacker, but Burnley were the big danger, given that they're massively over-achieving this season, and Albion shouldn't be hugely concerned about anyone else in England.
It arrived 10 minutes after the break from another corner as Craig Dawson rose above Gaean Bong to power his header down and into the roof of the net, despite the efforts of Anthony Knockaert and Mat Ryan on the line.