The match decision came down to the final singles court for the fifth consecutive match.
TCU will host regional rival Mean Green in its first of four straight home matches.
The Horned Frogs mounted a comeback, but fell short to the top 25 opponent.
The Horned Frogs picked up their second 4-3 victory in a row with the win over the Hornets.
The No. 40 Horned Frogs could not overcome the No. 31 Tigers in the Sunday battle.
TCU Women's Tennis - Jan. 18