Hi Sara.
Bad news is there's no easy answer.  I think the first thing to do would be to answer the questionthat was asked...how can you help the mom increase her supply with pumping?  There's lots of good info in Making More Milk on this topic, including pumping strategies, galactagogues, etc.  
After answering the question, *then* bring up the possibility of looking at feeding directly at the breast, too.  There's a high possibility that whatever was causing dysphagia in the first place made it too hard for baby to feed directly at the breast.  You can help mom with positioning, etc., then observe how the baby actively feeds... what's the suck:swallow ratio?  How many swallows in a suck burst cycle?  How many suck burst cycles can baby manage?  Some babies with dysphagia can't complete the feed at the breast.  Yes, it's possible, but proceed cautiously as you support mom in finding the best way for her to feed her baby.  
Amy Peterson, IBCLC

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