Rising Stars Challenge participant as part of the 2014 NBA All-Star Game weekend. On February 7, he was selected to replace Kobe Bryant in the 2014 NBA All-Star Game. On February 26, Davis sprained his left shoulder late in the first half against the Dallas Mavericks. He did not play in the rest of the game, and his subsequent availability was listed as day-to-day. Despite his shoulder sprain, Davis matched his career high with 32 points on February 28 against the Phoenix Suns. He was one of six Western Conference Player of the Week nominees on March 10. On March 14, Davis established a career high with 36 points against Portland. On March 16, 2014, (the very next game) Davis scored a career-high 40 points along with a career-high 21 rebounds in a 121–120 overtime win against the Boston Celtics. The performance was the first 40-point, 20-rebound effort of the 2013–14 NBA season. Davis was the fourth-youngest player (21 years and 5 days) to achieve 40/20 in a game and the youngest since Shaquille O'Neal in 1993. In addition to his career game, Davis set a New Orleans' franchise record with six straight games of at least 28 points. Glen Rice set the previous best stretch with five straight in the 1990s. It was also the first 40-point performance by a Pelican/Hornet since David West on February 26, 2010. Davis was again a finalist for NBA Player of the Week on March 17 and 24. In late March, Davis began suffering a series of injuries. On March 28, Davis injured his left ankle, after four minutes of play against the Jazz. He missed the rest of the game and the next one. Davis returned to the lineup on March 31 against Sacramento. However, on April 2, Davis endured back spasms that caused him to miss the second half against the Nuggets. Davis saw limited minutes on April 4 and missed a game on April 9 due to his back. On April 10, the team announced that Davis would miss the remaining four games. Davis finished the season as the NBA leader in blocked shots per game (2.82). Because of his improved performance this season against his rookie season, Davis finished third in the NBA Most Improved Player Award voting behind Lance Stephenson and Goran Dragić. First All-NBA and playoff appearances (2014–2015) Davis began the 2014–15 NBA season against the Orlando