What's the meaning of " drifted " in here

Question

He slowly drifted to sleep with Sara's face still in his mind 

او به ارومی و بی اراده به خواب رفت در حالی که هنوز هم چهره سارا در ذهنش بود 

Answer 1

به نظرم خوب ترجمه شده.

Answer 2

او به ارامی همچنان با چهره سارا در ذهنش کم کم به خواب رفت.

 

Drift

CHANGE - to gradually change from being in one condition, situation etc into another without realizing it 

drift into

* She was just drifting into sleep

* when the alarm went off. 

* He drifted in and out of consciousness.

 

drift off 

to gradually fall asleep 

* I was just drifting off when the phone rang. 

* He felt himself drifting off to sleep.