Bleeding from the ear can also be due to more serious conditions, such as a blow to the head or cancer of the ear canal. You should contact your doctor any time you experience bleeding from the ear. If you experience bloody discharge from the ear after a fall or a blow to the head, seek immediate medical care.
http://www.healthgrades.com/symptoms/bleeding-from-ear
The change of blood flow in the veins can then be heard in your ear. One of the main causes of pulsatile tinnitus is a condition called Benign Intracranial Hypertension or BIH. This is a condition wherein the fluids inside our brain experience a pressure.
http://tinnitus0.blogspot.com/2008/11/hearing-pulse-in-ears.html
Do you have it in both ears, or just one? I believe that it could have to do with the fact that your ear (or ears) are already injured due to the tinnitus, and are sensitive to the sound of blood rushing within your body. I'll admit that I have this sound, too, in my right ear only. I had tinnitus for at least 25 years in my right ear (mild), and then mine got worse after taking a blood pressure drug. That's when I began hearing the pulsating sound. It does sound like you described, but yours seems to be very mild compared to mine.
https://www.tinnitustalk.com/threads/anyone-else-have-this-blood-rushing-sound.10525/
This branches out to more problems like inflammation, decreased hearing, sometimes a feeling if fullness in the ears and also pain. Having such inflammation is caused by the increase of blood flow in the area. Having high levels of blood flow makes you hear that pulsating sound in your ears. There have been cases wherein patients with high blood pressure claim to have pulsatile tinnitus right after they began taking blood pressure medication. The pulsating sound subsided mostly after a few weeks.
http://tinnitus0.blogspot.com/2008/11/hearing-pulse-in-ears.html
I don't fear this blood rushing sound to be harmful as it sort of makes logical sense, I mean I get it, blood noise rushing around my ear, not great but it's easier to understand than the weird regular T tones and sounds.
https://www.tinnitustalk.com/threads/anyone-else-have-this-blood-rushing-sound.10525/
Hearing occurs when sound waves travel through the outer ear and into the middle ear, where they cause vibration of the eardrum and ossicles. These vibrations are then transmitted through the inner ear, converted into electrical impulses, and translated by the brain as sound.
http://www.healthgrades.com/symptoms/bleeding-from-ear
What is bleeding from the ear? Bleeding from the ear is ear drainage that contains blood. The discharge may be a combination of pus, wax, fluid and blood. Although there are other possible causes, the most common cause of bleeding from the ear is a ruptured or perforated eardrum.
http://www.healthgrades.com/symptoms/bleeding-from-ear
1 These are the carotid artery and the jugular vein, which circulate blood to and from the brain. (I’ve put an illustration of these blood vessels, and where they sit in relation to your middle and inner ear, below.)  Carotid artery disease.
http://www.askdoctork.com/is-it-unhealthy-that-i-can-hear-my-pulse-in-my-ear-201307195158
Such change in blood flow then causes the person to feel the ear ringing or beating problem. This usually occurs in patients with higher age level with a history in hypertension, diabetes and smoking. Middle Ear Effusion is another disorder wherein the middle ear happens to be suffering from an infection.
http://tinnitus0.blogspot.com/2008/11/hearing-pulse-in-ears.html
Ear anatomy and hearing. Conductive hearing loss makes it easier to hear blood flowing through two large blood vessels that travel through each ear. These are the carotid artery and the jugular vein, which circulate blood to and from the brain. Most of the time, pulsatile tinnitus is nothing to worry about.
http://www.askdoctork.com/is-it-unhealthy-that-i-can-hear-my-pulse-in-my-ear-201307195158
what does it mean when you hear blood flow through your ear
Pulsatile tinnitus means when you hear blood flow through your ear. When you hear blood flow through your ear, it means pulsatile tinnitus.