The senior and the freshman each posted three wins to move on at Regionals.
All six Horned Frogs posted a win on day one of the competition.
Six TCU student-athletes will take part in the competition at the Hurd Tennis Center.
Four Horned Frogs saw action for the first time this fall season in Waco.
Alexandra Zenovka will join the team as a freshman, while Caroline Wegner will transfer from Memphis.