Oubre played one season of college basketball for the University of Kansas before being selected by the Atlanta Hawks with the 15th overall pick in the 2015 NBA draft, who then traded him to the Washington Wizards.

[2] Oubre and his family lived in the Magnolia public housing project from his birth until the early part of his childhood, later settling in the Eastover section of New Orleans.

[5][6] Oubre attended George Bush High School in Fort Bend, Texas, before transferring to Findlay Prep in Henderson, Nevada, for his senior season.

[8][9] As a freshman at Kansas in 2014–15, Oubre was twice named Big 12 Newcomer of the Week[10] and subsequently earned All-Newcomer Team honors.

[32] On December 5, Oubre grabbed a career-high 15 rebounds alongside 14 points and four blocks in a 139–132 overtime win over the New Orleans Pelicans.

[37] Despite playing a full 38 minutes in a 131–111 win over the Utah Jazz on February 24, 2020, Oubre was ruled out the next day due to a right knee injury.

[38] On March 3, 2020, Oubre underwent a successful arthroscopic surgery regarding the torn meniscus in his right knee and would be re-evaluated in four weeks.

[39] On November 16, 2020, Oubre, along with Jalen Lecque, Ricky Rubio, Ty Jerome, and a 2022 first-round draft pick, was traded to the Oklahoma City Thunder for Abdel Nader and Chris Paul.

[47] On November 18, 2022, Oubre scored a season-high 34 points, alongside three rebounds and three steals, in a 132–122 overtime loss to the Cleveland Cavaliers.

[59] During his tenure with the Phoenix Suns, Oubre created a brand name of merchandise to help celebrate the community in Arizona and the team that he became a part of for the growth of their future.

[60][61] The "Valley Boyz" name that he came up with for this brand first originated as a hashtag by Oubre on January 9, 2019, as a location tag for the team on Instagram.

[64][65] On November 11, 2023, Oubre was a pedestrian in center city Philadelphia and was allegedly struck by a hit and run driver.

[66] In the early morning of April 23, 2024, Oubre was involved in a second automobile-related accident, allegedly disregarding a red light and subsequently striking another vehicle, though no injuries would result from the incident.