Montgomery (shoulder) may start for Double-A Trenton on Tuesday, Matt Kardos of MLB.com reports.
Montgomery has made three minor-league rehab starts thus far, allowing three runs (two earned) in 6.2 innings. He hurled 44 pitches in his last appearance Wednesday, so a Tuesday start in the opener of the Eastern League Championship Series would allow him to work on five days rest and get stretched out a little more. Montgomery is looking at a mid-September return to the Yankees.