Goldberg was optioned to Triple-A Charlotte on Thursday, Dan Hayes of CSN Chicago reports.
The right-handed reliever was lit up in his lone relief appearance during his stint with the White Sox, surrendering four earned runs while recording just one out against the Tigers. Goldberg will now head back to Triple-A, where he owns a 1.99 ERA with 22 strikeouts over 22.2 innings. The White Sox will announce a corresponding move prior to Friday's series opener against the Indians.