This year's group features five former players and includes Saint Joseph's athletic director Don DiJulia as his long tenure on Hawk Hill ends.
The Hawks had their season end at 16-16 with a 90-87 loss.
The Atlantic 10 Tournament begins on Wednesday in Washington.
The Rams finished first in the conference in the regular season and are the team to beat in the tournament.
The Hawks were beaten, 65-49, but still have postseason hopes.
Seniors James Demery and Shavar Newkirk led the Hawks over La Salle for their sixth win in their final seven games.
Sarah Veilleux hit Saint Joseph's only three-pointer of the game, putting the Hawks past Fordham and matching them up with Saint Louis in the A-10 semifinals.
College basketball will provide sports fans with no let-down after the Eagles' Super Bowl win
Chelsea Woods scored a career-high 33 points for St. Joe's in the opening round.
The Dragons have played in 11 games decided by one possession this season, and are 6-5 in those contests. That includes a 1-1 mark against James Madison, their opening-round CAA tournament opponent.
The Hawks need an upset to keep their chances alive for a double-bye in the Atlantic 10 Tournament.
RICHMOND, Va. - Nick Robinson scored 20 points with eight rebounds and Shavar Newkirk added 18 points, including two free throws with 14 seconds left, as St. Joseph's beat Richmond, 72-70, on Saturday night.
Drexel returns to the court after setting an NCAA Division I record by overcoming a 34-point deficit in Thursday's 85-83 win over Delaware.