On February 7, 2015, Davis injured his shoulder after falling off the rim when he received an alley-oop. As a result of the injury, he withdrew from the 2015 NBA All-Star Game, and was replaced on the roster by Dirk Nowitzki and in the starting lineup by LaMarcus Aldridge. Davis missed five games in late February and early March to the shoulder sprain. He returned against the Detroit Pistons with a very dominant game performance of 39 points, 13 rebounds, and 8 blocks, numbers that only Hakeem Olajuwon and Dwight Howard had achieved in a game in the prior 30 years. Davis also reached 437 career blocks, a franchise record. On March 9, Davis tied his career high with 43 points and added 10 rebounds, 2 blocks and a steal in a 114-103 win against the Milwaukee Bucks. On March 15 in a double overtime game against the Denver Nuggets, Davis became the first player in NBA history to tally 36 points, 14 rebounds, 9 blocks and 7 assists in a game since blocks became a statistic in 1973. Only David Robinson has had at least 30 points, 11 rebounds, 8 blocks and 7 assists in a game. On March 16, Davis earned Western Conference Player of the Week for games played Monday, March 9, through Sunday, March 15 and was a finalist for Western Conference Player of the Month of March. In the final game of the regular season, a must-win game that would send the Pelicans to the 2015 NBA Playoffs, Davis recorded 31 points, 13 rebounds, and 3 blocks in a 108-103 victory over the defending-champion San Antonio Spurs. The playoff berth was Davis' first and the franchise's first since 2011. Davis' season was one of the most impressive in NBA history, finishing the season averaging 24.4 points, 10.2 rebounds, 2.9 blocks, and leading the league in player efficiency rating with 30.89. He was a finalist for Western Conference Player of the Month again in April.