The 83-year-old Benaud was driving home alone to Coogee, in Sydney's southeast, on Wednesday morning when his car mounted a nature strip and hit a small brick wall, the Nine Network said in a statement.
Benaud suffered chest and shoulder injuries and is expected to be hospitalised for a number of days.
"No one else was injured, and I was more worried about the car than myself," Benaud said in a statement.
Despite being in some discomfort, the former Test captain remained in "fine spirits and good humour", the network said.
His wife Daphne said she was quite concerned at first but "today he's looking unbelievably well".