When DS started weaning at age 3, my milk started drying up, but he kept asking to nurse for months afterward, even once the milk was completely gone. Eventually he mostly lost interest since he wasn't getting any milk. I wasn't comfortable nursing him anymore, it just didn't feel right to me (emotionally mostly, though also physically), but I let him continue trying on request, figuring I'd either get used to it or he'd lose interest completely. He asked once every couple of weeks, and never latched on for more than a couple seconds, so I just tolerated it. One time he asked after not trying to nurse for about a month. I let him try, he said there was no milk, NOT EVEN A DROP, and we decided together (OK, with a teeny push from me) that it was his last time nursing. We were both happy with that choice and now, months later, when he misses nursing he pretends to nurse, or has one of his toy animals pretend to nurse, and that seems to satisfy him. I'd say our process was about 98% child-led and I dried up as he was weaning... so I'm not sure what I'd do if I dried up way before he was ready to wean, I don't know how long I could dry-nurse on a daily basis...
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