During his junior year (1958–59), West scored 26.6  points per game and grabbed 12.3  rebounds per game. He tied the NCAA five-game tournament record of 160 points (32.0 points per game) and led all scorers and rebounders in every West Virginia game, including getting 28 points and 11 rebounds in a 71–70 loss to California in the final. West was named Most Outstanding Player of that year's Final Four. Further awards were All-American, Southern Conference Tournament MVP and Southern Conference Player of the Year and Athlete of the Year. He was also named to be a member of the U.S. Pan American Games basketball team that won the gold medal. West demonstrated his tenacity for the game in a match against the Kentucky Wildcats. He broke his nose during an incident in the game, but he continued to play despite intense pain and having to breathe through his mouth. He scored 19 points in the second half, leading WVU to an upset victory.