He attended high school at Georgia Elite in Atlanta, where he played his freshman and sophomore seasons of basketball.

[1] Egbunu averaged 7.4 points and 6.2 rebounds as a freshman, earning American Athletic Conference All-Rookie Team honors.

He recorded his first double-double as a Gator (third total) with 17 points and 11 rebounds against Florida Gulf Coast.

[1] During his sophomore season, Egbunu suffered a torn ligament in his right thumb prior to the SEC Tournament and appeared in only three games following the injury before undergoing season-ending surgery.

[1] During his sophomore season, Egbunu led the Gators in most blocked shots (48), with a field goal percentage of .591 and ranked 2nd in rebounds with 6.5 on average.

[5] On September 25, 2019, Egbunu signed a contract with the Brooklyn Nets and briefly attended their training camp.

[7] On December 27, 2019, Egbunu scored a career-high 26 points and grabbed 10 rebounds in a 107–91 loss to the Canton Charge.

[9] On June 12, 2020, Egbunu signed with the Busan KT Sonicboom of the Korean Basketball League (KBL).

[11] On January 29, 2021, he signed for Pallacanestro Varese of the Italian Lega Basket Serie A (LBA) until the end of the 2020–21 season.

[18] On February 17, 2024, Egbunu signed with the Ningbo Rockets of the Chinese Basketball Association (CBA).