When to introduce first pillow?

My son comes into bed with me in the mornings for the last hour or two of his rest, sometimes he falls asleep on my small pillow and he LOVES it. Like he more cuddles with it thank lays his head on it. Well I was wondering when most moms introduce their babies to starter pillows? I’m a FTM and this is yet another milestone I’m unfamiliar with readiness of. TIA for useful advice!

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