From Longman Dictionary of Contemporary Englishwoozywoo‧zy /ˈwuːzi/ adjective informal BALANCEfeeling weak and unsteady SYN dizzy Giving blood makes me feel really woozy.
Examples from the Corpus
woozy• When I stood up, I felt a little woozy.• She was unused to booze, the bloody Marys; still a little woozy.• The woozy aftermath of surgery can feel equally surreal.• The bad news: A concussion that left Young woozy and knocked him out of the game.• The town was getting a woozy, criminal feeling that rather matched his own.• Jody, on the sidelines, felt a little woozy herself.• Giving blood makes her go all woozy, it seems.• Firebug gave him the address as he rushed out of the apartment and down the stairs on woozy legs.Origin woozy (1800-1900) Perhaps from woolly + dizzy