Tip-off time for the game will be announced Tuesday.
WSU (17-13) and EWU (20-11) will meet for the first time since 2007. The winner will face the winner of Thursday's game between Pacific and Sacramento State.
The Cougars were one of the "first four out" of the NCAA tournament.
Eastern, from the Big Sky Conference, did not play any Pac-12 teams this season, but the Eagles and Cougs did play three common opponents.
The Cougs defeated Gonzaga 59-58 while the Eagles lost their game to Zags, 61-60.
WSU and EWU also each played Idaho State. The Cougs won that matchup 84-34. EWU met Idaho State in league play twice, winning 88-75 and 62-58.
The Cougs beat Montana State 82-61 while EWU split their two games with the Bobcats, winning 72-58 at home and losing 63-53 in Bozeman.
Eastern was 6-9 on the road this season. The Cougs were 7-7 at home.
The WNIT is a single-elimination event with all games played at host schools. The Cougs put in a bid for first- and second-round games earlier this month.
WNIT BRACKET PDF:
CouGals to host Eastern in WNIT on Wednesday
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