Alvark Tokyo (2017–2019) On 30 June 2017, Baba joined the
Alvark Tokyo of the
B.League. On 17 November, he scored a career-high 22 points on 50 percent shooting from the field, to go along with seven rebounds, two assists, a steal and a block across 27 minutes in an 81–76 loss to
Levanga Hokkaido. On 24 December, Baba had 14 points and a career-high three blocks in a 62–60 loss to the
Hitachi Sun Rockers. Baba helped Tokyo defeat the
Chiba Jets Funabashi to claim their first B.League championship title, tallying 14 points and three steals in the final game. Following his impressive debut season, Baba was named Newcomer of the Year. On 17 October 2018, Baba scored nine points, grabbed four rebounds, dished out a career-high 10 assists and tacked on three steals in a 79–74 loss to
Link Tochigi Brex. On 23 December, Baba had 21 points, three rebounds and five assists in a 69–68 victory against the
Yokohama B-Corsairs. He recorded a career-high in
playing efficiency rating with 28. On 1 February 2019, he grabbed a career-high nine rebounds versus the
Fukuoka Rizing. On 30 March, Baba had a career-high six steals in a win against the
Akita Northern Happinets. Baba led Tokyo to back-to-back championship titles. He was eventually named B.League Final MVP, after logging 12 points, 12 rebounds, six assists and two steals in the final game against the
Chiba Jets Funabashi. Baba was also named the season's Best Sixth Man.
Texas Legends (2019–2020) On 19 September 2019, Baba signed with the
Dallas Mavericks of the
National Basketball Association (NBA). On 26 October, Baba was included in the training camp roster of the
Texas Legends, the
G League affiliate of the Mavericks. He was later included in the opening night roster of the Legends. In the G League, Baba played in 41 games, averaging 6.3 points, 2.5 rebounds, 1.3 assists and 1.0 steals in 19.6 minutes per game. For his efforts of becoming the first Japanese player to make it from the
B.League to the NBA, Baba was given the B.League's Break the Border award.
Melbourne United (2020–2021) On 19 July 2020, Baba signed with
Melbourne United of the Australian
National Basketball League (NBL). On 22 February 2021, Baba posted an NBL career-high 17 points, four rebounds and three assists in an 88–81 win over the
Cairns Taipans. Baba helped the United return to the
NBL Grand Final, where they faced the defending champions, the
Perth Wildcats. In Game 2, Baba scored 15 points, grabbed four rebounds and dished out one assist in an 83–74 win, helping the team take a 2–0 series lead. In Game 3, he tallied 11 points, two rebounds and an assist, helping the United win the
NBL championship title. Baba was named Melbourne United Defensive Player of the Year for tallying 31 steals and nine blocks across the season. He was also the recipient of the club's SHARE Award, an honor that is voted on by the playing group after each game that goes to the player who best upholds the squad's values.
Return to Texas (2021–2022) On 22 October 2021, Baba signed with the
Texas Legends of the
NBA G League, reuniting him with his former team. On 23 December, Baba announced that he tested positive for
COVID-19 and would be sidelined for 4 to 6 weeks.
Return to Melbourne (2022) On 23 March 2022, Baba signed with
Melbourne United for the
2021–22 NBL season.
Third stint with Texas Legends (2022–2023) On 3 November 2022, Baba was named to the opening night roster for the
Texas Legends. ==National team career==