Roland Garros and U.S. Open champion Swiatek and Gauff - the two youngest players in the field - were joined in the Tracy Austin Group by Caroline Garcia and Daria Kasatkina following the draw for the season-ending tournament.
Tunisia's Ons Jabeur, the second-ranked player in the world, topped the Nancy Richey Group in which she was joined by Jessica Pegula, Maria Sakkari and Aryna Sabalenka.
The top two players in each group will progress to the semi-finals, which will be played on November 6th. The final takes place the following day.
Spaniard Garbine Muguruza won the 2021 edition of the WTA Finals in Guadalajara.