The photo — of Hinchcliffe in his hospital gown with girlfriend Kirsten — was posted on the Oakville, Ont., native's Instagram and Twitter accounts.
"Kills me not being there, but wishing all 33 (drivers) a fast and safe day," the caption read.
Hinchcliffe was injured in a practice run last Monday when he slammed into the turn three wall.
A piece of his suspension broke and pierced his left thigh, leading to a life-threatening wound. He was rushed into surgery from the race track in critical condition.
— With files from The Associated Press