THe dairy in formula has been processed and gone through like a partial digestion process before giving it to bubs, so if your child isn't allergic, it shouldn't be a problem.

My DD's both had issues with my consumption of milk whilst breastfeeding... with my first I was told to go to formula which I did eventually, with my second I went on an elimination diet and we did really well.

As I said, my DD2 has never had a diary product cross her lips other than the occasional slip up and we are heaps more relaxed now with baked goods etc, but she does not have as severe an allergy as DD1. We don't have dairy products in the house unless we are having friends over who use milk in coffee... we have survived for nearly 3 years this way and don't miss it at all anymore.