The Mets said Wednesday that additional updates will be provided as appropriate.
Verlander opened the season on the injured list with a low-grade teres major strain. The muscle is located on the underside of the upper arm between the elbow and shoulder.
Signed to a two-year, $86,666,666 contract, Verlander is coming off one of the best seasons of his career to help the Houston Astros win the World Series.
Verlander, 40, went 18-4 and posted a career-best 1.75 ERA across 28 starts to win his third Cy Young Award.
He entered the season as MLB’s active leader in strikeouts with 3,198 in his career, which was also good for 12th all-time.