The move will be made Wednesday, retroactive to Monday.
Mattingly says Wilson was examined by a team doctor on Monday and there was no ligament damage. Wilson had reconstructive elbow surgery in April 2012.
The manager says he hopes it's a situation where Wilson just needs time for the nerve to settle down.
Wilson pitched Sunday night, allowing three runs in the eighth inning of a 3-1 loss to San Diego.
Mattingly announced the DL move after Tuesday night's 3-2 victory over the Padres.