Gil (shoulder) is reporting to High-A Hudson Valley to begin a rehab assignment Tuesday, Gary Phillips of the New York Daily News reports.
Yankees manager Aaron Boone said Tuesday on the "Talkin' Yanks" podcast by Jomboy Media that Rodon (elbow) will make another rehab start Thursday or Friday.
Gray (14-3) took the loss against the Blue Jays on Monday, allowing two runs on six hits and one walk with four strikeouts over six innings.
Red Sox interim manager Chad Tracy said Monday that Rutschman (wrist) is expected to be activated off the 10-day injured list ahead of Tuesday's game against the Blue Jays, Chris Cotillo of MassLive.com reports.
Yoshida (illness) will start at designated hitter and bat fifth in Monday's game against the Blue Jays.
Monasterio is out of the lineup for Monday's game against the Blue Jays.
White started in right field and went 3-for-4 with a double, an RBI and a run scored in Sunday's 4-3 loss to the Athletics.
Abreu started at designated hitter and went 0-for-2 with a walk and an RBI in Sunday's 4-3 loss to the Athletics.
Schlittler did not factor into the decision in Sunday's 2-1 extra-inning loss to Atlanta, allowing one run on three hits with 11 strikeouts over seven innings.
Grisham went 2-for-4 with a solo home run and a double in Sunday's 2-1 loss to Atlanta.
