Grisham agreed to a one-year, $5 million contract with the Yankees on Friday to avoid arbitration, Jorge Castillo of ESPN.com reports.
Grisham (hand) will start in center field and bat sixth Wednesday against the White Sox.
X-rays on Grisham's left hand came back negative after he was hit by a pitch during the first game of Saturday's doubleheader versus Texas.
Grisham was removed from the first game of Saturday's doubleheader against the Rangers after getting hit in the hand by a pitch, Gary Phillips of the New York Daily News reports.
Grisham went 1-for-4 with a two-run home run in Saturday's 8-3 win against the Blue Jays.
Grisham is out of the lineup for Monday's game against the Phillies.
Grisham is out of the lineup for Wednesday's game against the Mets.
Grisham went 3-for-3 with a home run, a walk, two RBI and two runs Sunday against the Orioles.
Grisham is out of the lineup for Wednesday's game against the Mets.
Grisham is starting in center field and batting ninth for Sunday's series finale against Atlanta.