Woodard now has 132 assists, nine behind Terry Evans and 22 behind Tommy Mason-Griffin for the mark.
The Sooners (20-8 overall, 9-6 Big 12) return home to host Texas at 3 p.m. Saturday (KOCB-34).
Oklahoma beat the Longhorns 88-85 on Jan. 4 in the Big 12 opener for both teams.
A win for the Sooners on Saturday would go a long way toward helping the Sooners seal any conference tiebreaker with the Longhorns or Iowa State.
The Cyclones and Longhorns, who entered Monday night tied with the Sooners for second place in the league, split their season series.
The first tiebreaker is head-to-head record against tied teams, then the season series against the highest-finishing team in the league down the standings until the tie is broken.
MANNING AMONG THE FANS AT ALLEN
Tulsa coach Danny Manning, whose son Evan is a sophomore walk-on for the Jayhawks, was in the stands for Monday's game.
Danny Manning, who coaches James Woodard, the older brother of Sooners freshman Jordan, sat six rows behind OU's bench.
Manning led the Jayhawks to the 1988 national championship over Oklahoma.
“So the best Memorial Bulldog point guard made the 2nd best Memorial point guard take a time out!”
Petra Woodard, the mother of Sooners point guard (and former Edmond Memorial star) Jordan Woodard, on Twitter after Kansas coach Bill Self was forced to call a timeout early in the second half. Self starred at Edmond Memorial before playing at Oklahoma State.