The 36-year-old setup man has been recovering from triceps inflammation in his left arm since the beginning of spring training.
The White Sox have him scheduled to throw one inning after Gavin Floyd finishes his outing against Team USA team of the WBC in Glendale.
"Matt will have two days off after he pitches," pitching coach Don Cooper said Monday. "I am hoping he feels good before, during and after. He will have his inning and I am not anticipating anything other than that inning and 20 or 25 pitches. Like I said he has two days (rest) afterward."
Thornton has not been shut down during spring training, instead he has worked on conditioning and a light throwing program. The durable left-handed reliever has the most appearances by any American League pitcher since 2006 with 472.