Ok thanks ladies for the input i feel better now knowing he will be ok 😊

The baby will not be born with a cold. You are helping build your child's immunity against that cold by being sick now. Even if the baby were to be born today, they would at least have some of the antibodies against that specific strain because they inherit a passive immunity through the placenta that will last for the first few weeks/months of life. This is also why it is recommended for the mother to receive certain vaccines each pregnancy - to hold the child over until they are old enough to receive the vaccine themselves.

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I was sick when I had my daughter but I breastfed and I was told the milk produces antibodies against my cold so baby wouldn't catch what I had

You have a whole month left, chances are you won’t be sick anymore once baby arrives!

Baby could stay baking for another 4 weeks. And no, you being sick does not mean your child in utero is sick.