Taillon (groin) threw a 45-pitch simulated game Tuesday, Meghan Montemurro of the Chicago Tribune reports.
It might have been the final step of side work for Taillon before he is cleared to embark on a minor-league rehab assignment, though there's also a chance that he is allowed to skip a rehab stint altogether. The 31-year-old right-hander landed on the injured list April 20 because of a left groin strain. Caleb Kilian filled his rotation spot last week before getting optioned back to Triple-A Iowa.