The surgery, which is to be performed by Dr. Neal ElAttrache, will clean up scar tissue and an elbow spur in Hawksworth's throwing arm.
The team said it estimated Hawksworth's recovery time to be between four and six weeks, which would not affect the pitcher's ability to be ready for the start of the season. A specific timetable will be known after the surgery, a team spokesman said.
Last season, Hawksworth was 2-5 with a 4.08 ERA in 53 innings for the Dodgers. He had 43 strikeouts and 17 walks and pitched in 49 games.