I was more thinking of the comfort of a newborn baby, I wasn't sure if a woven wrap would be rough against the skin? Not having ever seen one before. It will be hot here so I imagine baby will only be in a nappy.
Two of my wovens were soft and snuggly almost right away - perfect for a newborn. Most new wovens require a little breaking in (though sometimes it is just a wash/iron) and others are a bit rougher at first before they soften up - linen is often like this. But I would say that my wovens are as soft or softer than my stretchy wrap and they are definitely silkier. Some materials are softer than others too - like bamboo. If you're looking at buying preloved, then they will already be broken in too which is a bonus
Oh I forgot to mention that if you are wrapping in warmer weather, then the material makes a difference. I have a Vatanai wrap that I love - it is perfect for warmer weather and super soft and silky. Gauze wraps are also great for hot weather. Also breaking them in isn't hard - wash/iron, braiding, sitting on them and sleeping on them will soften them up in no time!
And just to add to my post above, I have a hemp indio that I love, but it isn't snuggly soft for a newborn. The material and weave make a difference, but they can be soooo soft and cuddly! I use mine as blankets for LO all the time too
ETA: I hope your LO is doing better - I read about his accident in the toddler section!
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