I'm not sure exactly how much they gain each week, but my bub is right on the average line at every US we've had. At 31 weeks he was 4 pound 2, and on tuesday at 33wk 5d he was 4 pound 15. So he put on a little under half a pound a week. Every baby is different of course and you can ask your ob for an averages scale and mark your bub's estimated weight on it and do an estimate graph to get an idea.
But as Trillian said, they put on the most weight in the last 4 weeks.
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