Lambert (elbow) threw a live bullpen session Monday, Daryl Van Schouwen of the Chicago Sun-Times reports.
Just over a year removed from Tommy John surgery, Lambert looks like he may be nearing the finish line in his rehab program. Though Lambert looks like he'll be a candidate to pitch for the big club in 2020 after the White Sox included him in their 60-man roster pool, it would be surprising if he cracked the team's 30-man Opening Day roster. Lambert will likely have his workload monitored carefully in summer camp coming off the major arm operation.