Troopers say the truck - believed to be a Chevy or GMC pick-up - may have damage to the right mirror or right side and are appealing for witnesses to the crash.
The 53-year-old is running from Los Angeles to New York in a
Forrest Gump
-style marathon to raise money and awareness for pulmonary fibrosis.
He began the 5400km quest in May and expected to take 110 days to reach New York.
Before he embarked on the journey the former Victoria University lecturer told the Herald it was about fulfilling a long-held dream.
"I want to accomplish something that has long been a deep-seated desire for a very long time - to run across America," said Ashill.