Swansea moved out of the Premier League relegation zone as Fernando Llorente's first-half header gave them a precious 1-0 victory over Everton.
Llorente's 13th goal of the season saw Swansea leapfrog Hull into 17th place, the Tigers punished for their earlier home defeat to already relegated Sunderland.
Swansea are now one point above Hull and firmly in charge of their own destiny with two games of the season remaining.
Everton might have had little to play for as they have already qualified for the Europa League but Swansea had to defend for their lives at times, especially in the closing stages as Paul Clement's side clung on.