It sounds like you have a classic case of Pulsatile Tinnitus, aka 'Somato Sounds'. The feeling of 'pressure' is a giveaway.
Having tinnitus does not mean you have hearing damage, and it can be caused by a million different things.
Have you taken a holiday recently? Have you been under any stress lately?
I would recommend seeing an Otoneurologist or ENT specialist who knows about tinnitus soon.
Whatever you do, make sure to remember that searching Google will paint a bleak picture for these types of condition. This is a condition where searching the 'web will distort your outlook - unlike many other conditions where the 'web will inform you (don't ask why this is - every quack and his dog thinks he has a cure, and the people who tend to discuss tinnitus in groups tend to be acute sufferers).
Tinnitus is a very broad banner, applying to many different types of tones / pulses etc. There is a very good chance that your issue will go away in good time. The best policy is not to think about it (although do get a specialist's opinion + audiogram + tympanometry) and relax.
Tinnitus isn't the end of the world, and it often goes away after a while. You aren't classified as being a 'tinnitus sufferer' until you've had it for 6 months - there's a clue in this. You may just have a very mild case of temporary tinnitus. Remember that somewhere around 9/10 people will report some kind of tinnitus if left in an anechoic chamber.