grogginess
Concise Oxford English Dictionary © 2008 Oxford University Press:
groggy/ˈɡrɒɡi/
▶adjective (groggier, groggiest) dazed and unsteady after intoxication, sleep, etc.
– derivatives
groggily adverb,
grogginess noun.
groggily adverb,
grogginess noun.
'grogginess' also found in these Oxford entries:

