This news came after team physician Dr. Gerald Kuykendall said in a statement released Thursday morning that James' body functions had returned to normal.
James was taken to the hospital after becoming light-headed and sick to his stomach following practice.
Saban said a stomach virus contribution to James' problems and a stomach virus also was the reason quarterback A.J. Feeley missed Thursday's practice to go get checked out by a doctor.
"We've got a litttle virus going around on the team," Saban said. "A.J. went to the doctor today, Jeno was sick. That was part of the problem with him and we had three or four other guys have this kind of stomach virus kind of a thing that's going around.
"Hopefully, we'll be able to get that contained and kind of go from there."
The heat and humidity also played a part in James becoming sick. Saban said the Dolphins take a lot of precautions to make sure the players don't become overwhelmed by the South Florida weather.
"Oddly enough, (a few nights ago) we had a lecture from a doctor about hydration," Saban said. "The next night we had two dieticians talk to the team about food intake, protein, carbohydrates, calories, body fat, muscle mass, hydration and all those kinds of things. I think we're doing a lot of things to prevent anything like this from happening, but sometimes circumstances can still get created, whether it's through illness and the combination of the work and illness and the intake that you're not really aware of and you don't control."
News that James was fine was a big relief to his teammates.
"I've never been through anything like that, so for me I was hoping and praying that the guy would be OK and I think he's doing fine," safety Chris Akins said. "Anytime you go through something for the first time you never know how to react or what to do. As a player, all I could do was sit back and pray for him."