He has made three rehab starts for Double-A Tennessee, giving up one earned run on six hits and four walks over 12 1/3 innings. In his last outing on Wednesday, Arrieta went 5 2/3 innings.
Arrieta was in Chicago on Friday to throw a side session for Chris Bosio, so the pitching coach could evaluate the progress.
The Cubs acquired Arrieta last July from the Orioles in the Scott Feldman deal, and he went 4-2 with a 3.66 ERA in nine starts.
Carrie Muskat is a reporter for MLB.com. She writes a blog, Muskat Ramblings, and you can follow her on Twitter @CarrieMuskat. This story was not subject to the approval of Major League Baseball or its clubs.