Swansea took all three points having come through a testing matchup with Rotherham United on Saturday, while Pulis was denied a dream start to his tenure as his side went down 1-0 to Preston North End.
It was the Swans' sixth win of the season and third in their last five games, which will please Steve Cooper after a tricky run of fixtures.
Swansea will also see this fixture as an opportunity to secure back-to-back wins against Sheffield Wednesday for the first time since December 1978, following their 2-1 win in this exact fixture last season.
Peculiarly, Pulis's men aren't the only 'Wednesday' opposing Swansea, as they are without a win in their last eight home league matches played on a Wednesday - their last win coming against Newcastle United in December 2013.
Following the visit of the Owls, Swansea then travel to Nottingham Forest, then Middlesbrough as they look to keep their promotion hopes intact.
It was left to Tom Barkhuizen's goal to decide who took the win at Deepdale on Saturday, and Tony Pulis will not underestimate the job he has on his hands after Wednesday were condemned to their sixth loss of the season.
Wednesday have lost both of their last two away league games to Swansea by a 1-2 scoreline and will be looking to buck that trend to secure points that could move them out of the bottom three if results go their way.
Similarly to Swansea, Wednesday have not won on a Wednesday since 2007, and in fact have lost their last seven, while new boss Pulis has never won away to Swansea City in a league match in his managerial career, failing with Bournemouth, Stoke, Crystal Palace, West Brom and Middlesbrough.
Pulis has hinted the Owls may look at the free agency market to increase their attacking firepower, having found the back of the net just six times in 12 league outings so far this season
Swansea City Championship form: DWWDLW
Sheffield Wednesday Championship form: LLLWDL
Steve Cooper said he had been waiting for a chance to start Liam Cullen, as the striker looks to join the list of academy products who have thrived at Swansea City.
Cullen is likely to keep his place when Cooper's side target a fourth successive home win against Sheffield Wednesday on Wednesday.
For the Owls, Josh Windass will sit out the next three matches, starting with this daunting midweek trip to Swansea.
His absence further adds to Pulis's striking woes, with Jack Marriott unlikely to feature again until the new year after suffering a calf injury.
Swansea City possible starting lineup:
Woodman; Naughton, Bennett, Cabango; Roberts, Fulton, Grimes, Smith, Bidwell; Lowe, Cullen
Sheffield Wednesday possible starting lineup:
Wildsmith; Palmer, Van Aken, Borner, Lees; Odubajo, Bannan, Pelupessy, Reach, Luongo; Rhodes
We say: Swansea City 2-0 Sheffield Wednesday
All roads point to a home win here, and though Pulis's men will huff and puff, we cannot see past the Welsh side who we expect to brush Wednesday aside without too much trouble.