Collocations for sleepy - adj.

be, feel, look, sound
become, get, grow
make sb
The alcohol was making him sleepy.

extremely, fairly, very, etc.
a little, slightly, etc.
She was beginning to get a little sleepy.

be, seem
remain
The town remains sleepy despite the activity all around it.

sleepy little
a sleepy little fishing town

Sleepy is used with these nouns:
eye, town, village