fall asleep *
dope off
flake out
drift off
nod off
drop off
doze off
drowse off

The woman found a place to sit and immediately nodded off.

He'd nodded off for only a minute or two, apparently.

He looked at her, smiled, nodded off and was gone.

For the past two or three weeks, I'd been nodding off by late afternoon.

George said he hoped I wouldn't cause any trouble and nodded off.

When she nodded off, he used the time to explore her body.

She had almost nodded off when the first reports came in.

In the living room he indicated the girl, who had nodded off again.

But be thought better of it and nodded off again.

Yet, despite her best efforts, she soon felt herself nodding off again.