The present disclosure is directed to a gas-lubricated bearing assembly for a gas turbine engine and method of damping same. The bearing assembly includes a bearing pad for supporting a rotary component and a bearing housing attached to or formed integrally with the bearing pad. The bearing housing includes a first fluid damper cavity, a second fluid damper cavity in restrictive flow communication with the first fluid damper cavity via a restrictive channel configured as a clearance gap, and a damper fluid configured within the first and second fluid damper cavities. More specifically, the damper fluid of the present disclosure is configured to withstand the high temperature environment of the engine. Thus, the bearing housing is configured to transfer the damper fluid from the first fluid damper cavity to the second fluid damper cavity via the restrictive channel in response to a force acting on the bearing pad.