this is a way that works for me but might not for you.

you see i got this lucky green pillow and it haven't been wash for like 5 years (i mean it) and it makes the pillow kinda really soft, the material inside is made from old wool i think. Well anyway every time i hug something (especially the lucky pillow) i fall asleep in about 5 minutes. So the next 4 days i sleep in different ways: on my left side, on my right side, on my back and on my stomach. For some reason they all got the same result, i fell asleep in about 5 minutes.
The next day i try hugging a normal pillow and what do you know? i feel asleep in about 5 - 7 minutes.
So i think hugging something while going does help.

Note: make sure you are not uncomfortable example: too cold, too warm under the blanket...etc.