He was listed in good condition at St. Joseph's Hospital and Health Center after undergoing surgery to repair a fractured hip on Sunday.
"It was a dumb thing to do," Stallings, 62, told The Paris News about Sunday morning's accident. "I was feeding three young colts at the same time and each was afraid he wouldn't get to eat. One knocked me down and I landed on my hip."
Stallings said he's been told he'll need a wheelchair and a walker for about three months.
Coaching Alabama to a 70-16-1 record from 1990-96, Stallings' 1992 team captured the national championship with a 34-13 victory over Miami in the Sugar Bowl. He retired after the 1996 season.
In his final game at Alabama, Stallings defeated Michigan, 17-14, in the 1997 Outback Bowl.