Celebrini comes by his athleticism honestly, considering his family's history in sport and development of high-performance training techniques. His brother Macklin is expected to be in the 2024 NHL Draft class, and his father Rick, a former professional soccer player, is a physiotherapist and previously worked for the Canucks. Rick currently works for the Golden State Warriors as the Director of Sports Medicine and Performance, and Celebrini's uncle, Randy, is also a physiotherapist in Vancouver who works with high-performance and professional athletes.