CHICAGO -- The Cubs have added Matthew Boyd to their rotation in their first big offseason move, agreeing to a $29 million, two-year contract with the veteran left-hander, sources confirmed to ESPN amid multiple reports.

Boyd, 33, can earn an additional $1 million in performance bonuses over the two years. The agreement is subject to Boyd passing a physical.

Making a successful return from Tommy John surgery, Boyd went 2-2 with a 2.72 ERA in eight starts with Cleveland this year. He also made three postseason starts for the AL Central champions, allowing one run while striking out 14 in 11 innings.

Boyd signed with the Guardians in June. He made his season debut when he pitched 5 innings of one-run ball against the Cubs on Aug. 13.

The Washington state native joins a rotation that also includes Justin Steele, Shota Imanaga and Jameson Taillon. Chicago has finished second in the NL Central with an 83-79 record in each of the past two years.

The Associated Press contributed to this report.