And point guard Danielle Robinson, who led the Sooners with a game-high 30 points, was a large reason they were able to get it done.
She scored five points in the extra period, recovering from struggles early in the game to lead OU through an overtime in which it outscored UT 12-8 to move towards a critical road victory.
Guard Kathleen Nash led the way with 20 points for the Longhorns, who led by three points at halftime.
But OU came out of the gates in the second half with renewed energy after shooting only 21.2 percent in the first half, and turned that deficit into an 11-point advantage in the final 10 minutes.
However, the ‘Horns stormed back to force overtime from that point, capitalizing off turnovers while eliminating that problem of their own down the stretch.
After turning the ball over 23 times in the first 30 minutes, they didn't commit one in the last 10.
That enabled them to tie it at 59 at the end of regulation.
Robinson and the Sooners, though, were just too strong in overtime.
The Sooners lost the rebounding battle 56-45 and played the extra frame without Joanna McFarland and Jelene Cerine, who both fouled out, but still managed to escape with a win.
OU now returns home for a 7 p.m. Tuesday battle with Texas Tech at Lloyd Noble Center.