The present disclosure is directed to a shroud assembly for a gas turbine. The shroud assembly includes a casing and a shroud. The shroud includes a radially outer wall engaged with the casing. A radially inner wall integrally couples to the radially outer wall. The radially inner wall and the radially outer wall collectively define a pair of axially opposed cavities. The radially inner wall moves radially outward toward the casing when one or more gas turbine blades contact the radially inner wall.