Do internal hemorrhoids bleed even with small bowel movements?

It can...: Small bowel movements can cause rectal bleeding with internal hemorrhoids depending in its severity.

They can.: Yes, especially if what you mean by "small" bowel movements is hard , dry stools. Increase water intake to at least 64 oz/day, eat fruits and veggies, and add a daily fiber supplement (psyllium is recommended). A more deformable stool will scrape the hemorrhoids less, and decrease the bleeding. If not- see your doctor.