Davison's car spun into the stall of Tristan Vautier, hitting two of his crew members, Greg Senerius, the right front-tire changer, and Daniel Jang, his right rear-tire changer.
An ambulance came onto pit road and Jang was loaded into the back. He was transported to IU Methodist Health and is undergoing surgery for a broken ankle.
Senerius was treated for a foot injury at the infield care center.
"Unfortunately I got sent out there at the same time Pippa was coming and we made contact and it sent us into our second team car,'' Davison said. "Just a very unfortunate situation."
The Associated Press contributed to this report.