This is a state of being where one is both tipsy
at the same time. The effects of being tipsy-tired can be easily confused as being drunk. Slurring speech, lack of comprehension of your surroundings, and sudden and spontaneous sleeping are all indications of being tipsy-tired.
Stop giving me a hard time, man. I'm not drunk. I've only had 3 beers. But I only got 4 hours of sleep last night, so I'm feeling pretty tipsy-tired.