Will My Supply Be Affected?
Most likely, your breast milk supply will be fine. It's hard to know for sure because research on the relationship between PCOS and breastfeeding, specifically low milk supply, is still in its infancy. Early studies show that women with PCOS may have inadequate breast glandular tissue to produce a sufficient amount of milk.
Keep in mind that glandular tissue does not correlate with breast size, as insufficient glandular tissue can occur in women with large breasts as well. This is thought to be a result of low progesterone levels during puberty and pregnancy in women with PCOS. Progesterone, which is essential for proper breast growth and development, is produced by the empty egg follicle after ovulation occurs. In a woman with PCOS, ovulation may happen infrequently or not at all, leading to low levels.
It’s also known that androgens, which are typically high in PCOS, can also interfere with and bind to prolactin (the primary hormone of lactation or milk production) receptors, reducing the amount of milk produced.
How Can I Improve My Supply?
Depending on the degree of glandular development, there are a few things a woman can try. Herbal galactogogues like Fenugreek, or prescription medications (metoclopramide, or domperidone) are an option. Some women have also found success using Metformin in conjunction with these medications. Taking care to nurse or pump frequently is also essential to maintaining milk supply. A woman with PCOS should consult with a certified lactation consultant when her baby is born to help her work through these issues.
Sometimes despite all these measures, a woman may still not produce enough milk. Depression, anger and denial are all common reactions to what can come as a shock to the new mom. A lactation specialist or postpartum counselor may be able to help her work through her disappointment and sadness at not being able to nourish her child.
Source:
Marasco, Lisa. Polycystic Ovary Syndrome. From the La Leche League Website: http://www.llli.org/llleaderweb/LV/LVAprMay05p27.html.

