Alan Curtis said it was a "huge relief" for Swansea to end their two-month winless run with victory over West Brom.
Ki Sung-Yeung scored the only goal of the game in the ninth minute after Angel Rangel's shot hit the post and Boaz Myhill was unable to hold the rebound.
It is Swansea's first win since October 24 and moves them out of the Premier League relegation zone.
"It means a huge amount," caretaker manager Curtis told Sky Sports. "It's a huge relief. We have had a couple of performances recently that were probably better than today, but the most important thing was to pick up three points and thankfully we did that.
"We said before the game that we have to find a way to win, whatever that takes. They threw their bodies on the line, they made tackles, blocks, ran that extra yard - probably not the type of football we normally play but it was what was needed.
"The way we worked and scrapped, the three points was a huge boost."
The match was Curtis' third in charge of Swansea as the club still search for a successor to Garry Monk.
Former Chelsea manager Roberto di Matteo is the favourite for the job but Curtis is happy to stay as long as he is needed.
"You certainly get into it," he added. "You get three points and it's a fantastic feeling. I will do it as long as the club tells me to carry me on.
"The important thing is they get the right man, if it carries on longer that gives the club some breathing space to make sure they do get the right man.
"I would hope the club could get somebody in, but if it means until the end of the season then so be it."