"We don't anticipate him playing at this point," Braunecker told FoxSports.com.
Lee, 37, has not pitched in the majors since 2014 because of a torn flexor tendon that forced him to undergo surgery and sit out the 2015 season. He last played for the Philadelphia Phillies, his second stint with the team.
A four-time All-Star, Lee led the majors in wins (22) and was the American League leader in ERA (2.54) in 2008, when he pitched for the Cleveland Indians. He won the AL Cy Young Award that season and was also named the league's Comeback Player of the Year.
Over his 13-year major league career, Lee compiled a 143-91 record, with a 3.52 ERA and 1,824 strikeouts.