Sheriff's department spokeswoman Jan Caldwell told the San Diego Union Tribune that the deputy, Barbara Crozier, is currently on paid administrative assignment while the incident is being investigated.
Riverside County sheriff's deputies arrested Crozier Tuesday after getting reports that a car had run into a water fountain at a country club.
Investigators determined that Crozier was suspected of being involved in a hit-and-run accident several hours earlier at a Palm Desert apartment complex.
Authorities say several vehicles were struck and a pedestrian's foot was run over by a driver who then fled.
The Associated Press contributed to this report.