The Cougars hold a two-point advantage over the Cornhuskers through eight events.
The trip marks the first matchup between WSU and Nebraska in program history.
The Cougars took first place in 12 of 14 events, Friday evening in Corvallis, Ore.
WSU looks to win its third-straight dual against the Beavers, Friday.
Junior Presley Wetterstrom set a school record in the 200 breaststroke with a time of 2:12.96.
The Cougars set 20 personal bests across seven events.
The Cougars set a school record in the 200 free relay.
The Cougars will face a four-team field in Iowa City, Iowa.
Ciera Kelly, Linnea Lindberg, Jasmine Margetts, Penny Nichols, and Taylor Shewchuk have each signed an NLI to swim at WSU.
The Cougars defeated the Lumberjacks, 181-80, and have won three-straight dual meets.
The WSU swim team took first and second place in all 14 events.
The Cougars are coming off a Pac-12 victory against the Arizona State Sun Devils.