Soroka agreed to terms on a one-year, $9 million contract with the Nationals on Thursday, Mark Feinsand of MLB.com reports.

The White Sox reinstated Soroka (shoulder) from the 15-day injured list Saturday.

Soroka (shoulder) will begin a rehab assignment with Triple-A Charlotte on Tuesday, Daryl Van Schouwen of the Chicago Sun-Times reports.

General manager Chris Getz said Friday that Soroka (shoulder) will begin a rehab assignment with Triple-A Charlotte next week, James Fegan of SoxMachine.com reports.

Soroka (shoulder) will throw a bullpen session and could be sent on a rehab assignment immediately after, MLB.com reports.

Soroka (shoulder) threw a 15-pitch bullpen session Tuesday, James Fegan of SoxMachine.com reports.

The White Sox placed Soroka on the 15-day injured list Friday, retroactive to July 16, due to a right shoulder strain.

Soroka was removed from his relief appearance in Sunday's game against the Pirates due to right shoulder soreness, Kyle Williams of the Chicago Sun-Times reports.

White Sox manager Pedro Grifol indicated Monday that Soroka is likely to stay in the bullpen rather than take the rotation spot vacated by Brad Keller, Daryl Van Schouwen of the Chicago Sun-Times reports.

White Sox manager Pedro Grifol said Tuesday that Soroka will move to the team's bullpen, Vinnie Duber of AllCHGO.com reports.