The Baggies are enjoying an encouraging run right now, having drawn their last three games. However, Pardew will know that they will hardly get a better chance to end their long wait for a victory than when they face the Swans as Paul Clement's men are the only team in the division yet to reach double figures for league points this term.
After the fans' criticism of Tony Pulis' playing style in the latter stages of the Welshman's tenure, there were some positive signs in their goalless draw with Crystal Palace in Pardew's first game after being appointed at The Hawthorns.
Given those plus points, it would be no surprise to see Pardew keep faith with the majority of the West Brom lineup that started against the Eagles last weekend - especially as he is probably still learning about his new squad of players having not worked with any of them before taking his current job.
West Brom may be forced into one change however, with Gareth Barry being taken off on the half-hour mark against Palace on Saturday due to injury.
Claudio Yacob replaced Barry and did extremely well considering that he has not started a single Premier League game since the opening day of the campaign - so it would be no surprise if he was the man to come in if the veteran does not recover in time for the Swansea game.
Pardew may be interested to hand the likes of Oliver Burke and Grzegorz Krychowiak more game-time perhaps, but it may well just be the one change from the side that took on Palace.
Here is the team in full...