Wright has been nursing an ankle injury and he was among the players at practice who wore a red jersey, signifying an injured player who is not be thrown to the ground.
"He was in and out of practice and he's probably not in as good a shape as he needs to be," Saban said after practice. "Young players need to develop mental toughness.
"We need to get on him a little bit. We got on him a little bit today, and he responded very well."
You may recall that Wright lasted until the fifth round of the supplemental draft because of those concerns about work ethic and make-up which diminished his impressive physical tools.
Some observers had projected that Wright would have been a first-round pick, quite possibly a high first-round pick, had he stayed at USC for another year or more and continued to progress.
As it was, Wright stayed only two years at USC, playing very little as a freshman before backing up NFL draft picks Mike Patterson and Shaun Cody last season.
Despite being a backup, Wright played well enough that he earned All-Pac-10 honorable mention recognition.
But the fact is the 6-6, 329-pound Wright is a project, and despite what you may have heard or read elsewhere, expecting the Dolphins to get a lot out of him early probably isn't realistic.
Tuesday's episode might have been an illustration of that.