I just did some research and found that vitamin D is present in breastmilk. My ped told me that Vitamin D does not pass in breastmilk
 Also, the more vitamin D in mama, the more for baby.Â
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Hollis and Wagner conducted a study where lactating mothers were supplemented with either 2,000 or 4,000 IU of vitamin D daily. The idea was to see if that fixes the baby's vitamin D levels as normal. In both groups, the vitamin D status of the infant improved greatly (as did the mother's).  In the 4000 IU/day group, the infants' D-vitamin levels normalized after 3 months of breastfeeding.[1] Note that 4,000 IU a day is ten times the current (woeful) recommended intake for vitamin D (which is 400 IU for adults) by the Food and Nutrition Board!
In another, earlier study from Finland, researchers supplemented mothers with either 1,000 IU or 2,000 IU of vitamin D daily. They found that 1,000 IU was NOT enough to make any significant changes in vitamin D content of breast milk, but 2,000 IU was sufficient so the infants had normal levels of vitamin D.[2]
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I think ds will finish the bottle I have and I'll start my supplement + sun everyday.