I use the autoject to do my injections. I also saw that I had some occasional copaxone seeping out of the injection site. I found that if I counted to 10 after the injection was complete, the seeping stopped for me when I pulled out the needle.
Years ago, I started using my inner & outer thighs for the injections. A PT I was seeing at the time, showed me a medical book, where a major grouping of cappillaries runs down the middle of our thighs. Since I have moved, I have gotten very little bleeding after doing my thigh injections.
Take Care, Bob