Lester, who was traded from the Red Sox to the Athletics in July, has drawn interest from several teams. CSN Chicago's David Kaplan reports the Cubs have offered Lester a contract worth more than $135 million.
Lester finished fourth in Cy Young voting this season. He was 16-11 with a 2.46 ERA and 1.102 WHIP, both career-bests.
- Dan Gartland