Swansea booked their place in the FA Cup fourth round draw with a comfortable 2-0 victory over League Two side Stevenage at the Lamex Stadium.
Wayne Routledge headed the Championship's second-placed side into a seventh-minute lead after some quick feet from Yan Dhanda.
Stevenage had chances to bring themselves level in a positive showing by the League Two side, but Viktor Gyokeres' header early in the second half saw Steve Cooper's men take control.
The home side threatened to give the Swans a nervy finish after being awarded a late penalty, but Freddie Woodman got down well to save Luke Norris' spot-kick to kill off any hope for a fightback.