This is likely true for a few reasons.
It may also completely close off during sleep, causing obstructive sleep apnea.
Asmaller lower jawmay push the tongue back into the throat.

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When Is the Neck Size Too Big and What Can Be Done?
Thus, neck size can have a significant impact on your ability to sleep.
If needed, these therapies can help to relieve the condition and help you to sleep and feel better.
By simply measuring your neck size, you may go down a path that leads to better long-term health.
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Ho ML, Brass SD.Obstructive sleep apnea.Neurol Int.
2011;3(3):e15.