Conant, Campbell’s president and CEO, was travelling back from the US group’s HQ in New Jersey when he was involved in the incident, which occurred on Thursday (2 July).
Campbell, which issued an announcement last night, said Conant was travelling in the back seat of the vehicle and was taken to hospital.
The company said Conant is “recuperating” after surgery at the weekend but declined to explain the extent of his injuries.
Conant is expected to be in hospital “for a brief period”, the company said.
Campbell chairman Harvey Golub added: “All reports indicate that Doug is doing very well, in good spirits, and progressing toward a full recovery. We believe Doug can continue to lead the company effectively during his recuperation.”