"It is a high ankle sprain," said Spagnuolo. "It will be day-to-day. There's no question that his work will be limited this week. He is in a (walking) boot."
Bradford suffered the injury during Sunday's 24-3 loss to the Packers, but remained in the game.
"You know those (injuries) can go in a lot of different directions so we'll see where we are at the end of the week," continued Spagnuolo. "My guess is that on Wednesday you'll probably see [backup quarterback A.J. Feeley] in there taking most of the work."
Bradford has thrown for 1,170 yards and three touchdowns against two interceptions this season for the winless Rams, who rank 25th in the league in total offense (308.4 yards per game).