Texas A&M athletic director Bill Byrne says the Longhorns told him their nonconference schedule is full through 2018.
The Aggies had hoped to continue the annual game, now held on Thanksgiving night, after they left the Big 12 in July. Now it looks as if this year's meeting will be the last for several years.
The teams first met in football in 1894 and the rivalry is one of the oldest and most spirited in college football.
Byrne added Friday that he has asked Texas A&M coaches in other sports to inquire about future nonconference matchups and the Longhorns also have declined to meet in men's tennis.