The sophomore was released from a hospital in his hometown of Decatur after the accident Thursday.
Saban said Friday that McClain sustained only some cuts and abrasions and will be monitored by Alabama's medical staff.
A friend who was with the player moments before the accident told The Decatur Daily that McClain had bought the motorcycle earlier Thursday.
Police reports indicated the driver of a motorcycle lost control and slid under a sports utility vehicle Thursday evening. Police didn't release any details of the accident and didn't return calls from The Associated Press.