I've been a type I for 24 years. Based on my personal experience, diabetes itself willl not make you bleed more easily. However, as others have mentioned, a moderate to high dosage of aspirin each day can cause blood to thin, as well as other medications such as those for treating clots. Poorly controlled diabetes will most certainly slow wound healing and circulation. Your immune system can suffer as well, affecting viral conditions and wound healing. Even someone with good control will likely have some slight decrease in healing time, but it makes a difference to keep those glucose numbers down.

Personally, I take (2) 81mg adult regimen aspirin a day. I believe it does thin my blood some, but hasn't caused any significant issues with wounds. (I actually feel it helps out some with the finger blood testing, in addition to the cardiovascular benefits.) The adult regimen aspirin will more slowly enter your system throughout most of the day, as opposed to a big burst over only a couple of hours.

Bases on my experiences anyhow...