Here, I'll be the civil one and be honest. Aside what I learned in college, I just googled, the non reputable websites like yahoo answers and wiki had conflicting answers, and the reputable websites were the same.
Here are 2 reputable websites. We are both correct. My guess is not enough research has been done to give a certain answer? Who knows.
MRSA is a dangerous bacterial infection, so you're smart to be concerned about breastfeeding. Formally known as methicillin-resistant Staphylococcus aureus, MRSA is a hardy strain of staph bacteria that is resistant to treatment with commonly used antibiotics. Health professionals believe MRSA can be passed through breast milk, which is bad news for moms-to-be and mothers who want to breastfeed.
Are there any risks associated with a Staph infection when breast feeding?
It is possible that a Staph infection is spread from the mother to the child or the child to the mother during breast feeding, if the child comes into contact with an infected open sore on the mother skin. Since Staphylococcus aureus often is found in the nasal passages, it is also possible that the mother develops mastitis (an infection of the breasts) from a child that is colonized with the bacterium in her nose. The risk is especially high if the mother has broken skin on her nipples. Staphylococcus aureus infections can be spread from mother to child or child to mother through any contact with infected sores, or bedding and clothing that was in contact with the sore. Wounds should therefore always be covered by a suitable dressing and infections should be treated appropriately.
I found a slight difference in medical opinions on the reputable websites leaning more towards it is safe and staph is not transmitted through breast milk.
But every doctor will have different opinions. You would think, of it was proven unsafe, then it would be a well known fact which it's not.