Daniel Armengol and Mauricio Del Rio reached the quarterfinals of the main doubles draw
The women open on Thursday in Waco (Baylor), while the men play on Friday in Fort Worth (TCU).
UTA is sendings three to the ITA All-American Tournament in Tulsa, Okla.
The UTA men won a school-record 18 matches and claimed the SBC crown in '16, while the women won 17 and reached the SBC semi's.
UTA and Oklahoma meet for the first time since 2008 in the NCAA Tournament's first round.