Knight has 878 victories and he can tie Smith's mark when Texas Tech hosts Bucknell next Saturday. The Red Raiders (9-3) play their next four games at home.
Jarrius Jackson scored 16 of his 17 points in the first half as Texas Tech took a 35-22 lead. The Razorbacks cut their deficit to eight several times in the second half, but the Red Raiders held on.
Arkansas' Sonny Weems opened the scoring with a 3-pointer, but the Red Raiders scored the next 18 points.
It was a vintage start for a Knight-coached team as Texas Tech moved the ball patiently, shot well from the perimeter and shut down the Razorbacks' stagnant offense. Alan Voskuil's 3-pointer made it 33-14.
Jackson hobbled off with 17:33 remaining in the second half. He returned quickly, but he appeared to be favoring his right foot and departed again with 14:57 to play. He came back late in the game.