YES, this is normal. I had the same thing with my second one and was very alarmed. However, my mother and later my dr. agreed that sometimes your period takes a while to get back to "normal" after having a baby. One thing to remember, though, just because you aren't having a period while you are breastfeeding, you can still get pregnant! Your body is ovulating, it's just not producing all the other stuff to actually actually create the flow. My first one was like yours....very heavy and I couldn't go anywhere! But, after a few more, it did become a bit more normal. I would suggest that you do sort of keep a diary, though in case it doesn't and your flow still remains heavy. That's what the dr. will ask you to do if you have any regularities anyway.
Hope this helps and congratulations on being a new mom!!