From Longman Dictionary of Contemporary Englishglassy-eyedˌglassy-ˈeyed adjective EMOTIONALhaving eyes that do not move or show any expression
Examples from the Corpus
glassy-eyed• Many of the students were glassy-eyed from studying all night.• Obediently, Martha studied the image of a glassy-eyed young white woman in a long white dress and tiara. 