The deal is for the veteran’s minimum, Wojnarowski added.
Bradley, 23, is 6-foot-10 and appeared in 22 games with the Thunder last season, averaging career-highs of 8.7 points and 6.1 rebounds. He has also spent time with the 76ers and Jazz.
Bradley could potentially help replace the loss of Daniel Theis, who left in free agency for the Rockets.
The Thunder decided not to make a qualifying offer to Bradley after the season. In Chicago, he could prove to be a valuable reserve behind Nikola Vucevic in the pivot.