Roman Bravo-Young and Carter Starocci will serve as the Nittany Lions' top-seeded competitors in Tulsa.
The true freshman's win at the Big Ten Championship Sunday propelled Haines to the No. 2 national ranking.
Beau Bartlett and Shayne Van Ness are moving on to session four to compete for third place.
Van Ness will continue to fight through the consolation bracket in the upcoming sessions.
RBY is one of two wrestlers in the country with this streak.
On the last day of winter workouts, the Nittany Lions took to the weight room to flex their muscles.