Breast compressions can help encourage a sleepy baby to keep feeding at the breast. Swapping sides is another trick to keep baby interested.

This blog gives some tips on breastfeeding a sleepy baby http://www.koraorganics.com/blog/liv...super-sleeper/

I don't believe it is a losing battle yet, and there are still things to try if you want to explore all your options.

Take care, whatever you decide.