The Chicago White Sox and right-hander Johnny Cueto are in agreement on a minor league contract.

The deal is worth up to $4.2 million, prorated for days spent in the big leagues, a source told ESPN's Jeff Passan.

Cueto, 36, started 21 games for the San Francisco Giants last season and went 7-7 with a 4.08 ERA in what was a resurgent campaign for the two-time All-Star.

The righty fills an immediate need for the White Sox, who recently lost starter Lance Lynn for more than a month due to a knee injury.

Cueto holds a career ERA of 3.45 across 14 seasons in the majors.