As a freshman at Baylor in 2012–13, Austin earned third-team All-Big 12 and Big 12 All-Rookie Team honors. On April 4, 2013, he recorded 15 points, nine rebounds, five blocks, four assists and two steals in the NIT championship game in which Baylor defeated Iowa 74–54. In 35 games, he averaged 13.0 points, 8.3 rebounds, 1.1 assists and 1.7 blocks in 29.9 minutes per game. In April 2013, Austin declared for the 2013 NBA draft, but later returned to Baylor due to a shoulder injury. As a sophomore in 2013–14, Austin earned Big 12 All-Defensive Team honors. In 38 games, he averaged 11.2 points, 5.5 rebounds, 1.4 assists and 3.1 blocks in 28.0 minutes per game. On April 22, 2014, Austin declared for the 2014 NBA draft, forgoing his final two years of college eligibility.
Professional career
Marfan syndrome diagnosis
On June 22, 2014, Austin learned that he had been diagnosed with Marfan syndrome, a genetic disorder that affects the body's connective tissue. In an emotional interview with ESPN's Holly Rowe, Austin said that he could no longer play basketball at a competitive level since the arteries in his heart were abnormally large, and there was too much risk of his aorta rupturing if he continued to play. In response, NBA commissioner Adam Silver invited Austin to attend the draft as his guest. Shortly after Austin's diagnosis was made public, his agent revealed that Austin had taken out an insurance policy against career-ending disability through a special NCAA program, which was worth at least $1 million. The policy would not have paid out if Austin's career ended due to his eyesight or his shoulder, but was expected to pay out due to his Marfan diagnosis. On June 26, 2014, between the 15th and 16th picks of the 2014 NBA draft, NBA Commissioner Adam Silver made Austin a ceremonial pick, which fulfilled his dream of getting drafted. The crowd gave him a standing ovation as he walked up to the podium. He was offered a job in the NBA by Adam Silver, with the stipulation that he finishes his degree at Baylor University.
Return to basketball
On November 30, 2016, Austin was medically cleared to play basketball and began considering offers from overseas. On January 7, 2017, he signed his first professional contract with Serbian club FMP. He made his debut for FMP on January 15, 2017, recording nine points and four rebounds in a 92–85 win over Mornar Bar. In 12 KLS games, he averaged 7.6 points and 3.9 rebounds per game. He also averaged 9.1 points, 3.2 rebounds and 1.2 blocks in nine Adriatic League games. In July 2017, Austin joined Guangzhi Weizhuang of the Chinese NBL. In 16 games for Guangxi, he averaged 34.6 points, 13.4 rebounds, 2.8 assists, 1.1 steals and 4.3 blocks per game. On November 11, 2017, Austin signed with the Yulon Luxgen Dinos of the Super Basketball League. He appeared in three games for Yulon before leaving the team in mid-December. On January 20, 2018, Austin signed with Champville of the Lebanese Basketball League. He appeared in four games for Champville before leaving the team in February. In June 2018, Austin re-joined Guangxi Rhino of the Chinese NBL. In 32 games, he averaged 33.2 points, 10.4 rebounds, 2.6 assists and 1.7 blocks per game. On October 16, 2018, Austin signed with Nanjing Monkey King of the Chinese Basketball Association. In 34 games, he averaged 17.0 points, 8.5 rebounds and 2.1 blocks per game. On August 18, 2019, Austin signed with Beirut Club of the Lebanese Basketball League. He appeared in four games for Beirut in October 2019. In December 2019, Austin joined Mets de Guaynabo for their return to the Baloncesto Superior Nacional in 2020. As an expansion team, the Mets were allowed to sign three "import players," or players not native to Puerto Rico.
Austin is blind in his right eye from a spontaneous retinal detachment that occurred during middle school. He had kept the visual loss a secret, known only to his teammates and close friends until January 17, 2014. On December 16, 2014, Austin was put into 2K Sports' NBA 2K15 as a free agent. Austin is the nephew of nine-year NBA veteran Isaac Austin.