Riley Grabau made all six of his free throws in the final two minutes to help Wyoming (13-2, 2-0 Mountain West Conference) hold off the Spartans (2-12, 0-2).
The Cowboys fell behind in the early minutes and trailed until Nance made a pair of free throws with 6:25 left. Charles Hankerson Jr. added a layup to cap a 10-0 run with Wyoming up 50-46. Hankerson finished with 12 points and Grabau scored 10, all on free throws.
San Jose State never regained the lead but pulled within 56-55 on Darryl Gaynor II's 3-pointer with 2:13 left.