Swansea boss Paul Clement hopes to avoid a historic Premier League relegation play-off with Hull.
The so-called "39th game" would happen if Hull and Swansea finished in joint-18th place, level on points, goal difference and goals scored.
At the moment Hull have a two-point advantage over Swansea with three games remaining but the two clubs' goal difference and goals scored are similar.
Swansea's goal difference is -29 compared with Hull's -31, and the Welsh club have scored four more goals.
Should those records be identical come the end of the season, with a relegation place at stake, the Premier League would take the unprecedented step of organising a one-off match.
This is in line with the rules laid out in its annual handbook to decide which club retain their top-flight status, with the game to be played at a neutral venue.
Hull have the chance to steal a march on Swansea on Saturday afternoon when they entertain already-relegated Sunderland.
Swansea host Everton in the Saturday evening kick-off and conclude their season against Sunderland and West Brom.
Crystal Palace - still not safe from relegation themselves - and second-placed Tottenham are Hull's last two opponents.