Redman was scheduled to start Saturday's game against the Toronto Blue Jays. If he is added to the 40-man roster, he would get a $750,000, one-year contract and the chance to earn $500,000 in performance bonuses based on starts
The 33-year-old was an AL All-Star last year, when he went 11-10 with a 5.71 ERA for the Kansas City Royals. An eight-year major league veteran, he is 64-76 with a 4.65 ERA in 186 starts and 12 relief appearances.
Redman began his career with the Minnesota Twins in 1995 and reached the majors in 1999. He was scheduled to report to the Braves on Friday night.
Hampton, coming off reconstructive elbow surgery that caused him to miss last season, strained his left oblique during batting practice Wednesday.