dope
When he finally came round after the operation, he smiled dopily.
She was exhausted, and curled up dopily in a corner.
Are you just going to stand there all day staring dopily at him?
The dog sat by the door with his tongue hanging dopily from his mouth.

SMART Vocabulary: related words and phrases

Tired and making tired
all in
anti-fatigue
at your worstidiom
be dead on your feetidiom
be fit/ready to dropidiom
fit to dropidiom
fragile
frazzled
gassed
haggard
haggardly
knackered
shell-shocked
sleep-deprived
sleepily
sleepiness
sleepy
stonkered
strung out
zonked

You can also find related words, phrases, and synonyms in the topics:

Stupid and silly