He will next face seventh seed Jordan Thompson, who ousted American Maxime Cressy in two sets, 6-3, 7-6 (7/6).
Brooksby was competing in just his fourth Tour-level event but came in with impressive stats after compiling a 21-2 record at the ATP Challenger Tour level this year. He has won three trophies — at Potchefstroom, Orlando, and Tallahassee — in 2021.
Brooksby shook off two break points against Gojowczyk in the first set, winning it in 23 minutes. After falling behind 2-0 in the second, he won six of seven games and claimed the win with an ace to move into the semis.