Swansea struggled past Sheffield Wednesday in their FA Cup replay on Tuesday, before their clash with West Ham this weekend.
The Swans fielded a relatively strong team against the Championship outfit at the Liberty Stadium as they looked to avoid an upset.
But they were held to a nervy stalemate in the first half, with the tie threatening to go the distance.
A presumably sterm team-talk from Carlos Carvahal at half-time had the desired effect, however, with Jordan Ayew and Nathan Dyer both on the scoresheet in the second period to give Swansea a 2-0 win.
The club will subsequently play either Spurs or Rochdale in the FA Cup quarter-finals, but the performance will have been of note for David Moyes and his coaching staff.
Indeed, the Swans were slow and ponderous in the first half and struggled to create anything against a well-drilled Wednesday, who are 17th in the Championship.
Belying their league position, the visitors created the better chances before the interval, but they did not have a clinical touch.
The Irons will be hoping to take their chances when they come this weekend, as they look to put clear blue water between themselves and the drop zone with a win.