Do these dots float around like the old ones? Do you see any flashing lights? Do you see any shadow across your vision? Is your vision changed in that eye?
Anytime you have new symptoms, it would be advisable to evaluate the retina to make sure that it is OK. These are floaters, just like the old ones (even though they look different). However, with the current symptoms you have, I don't think that there is any urgency to being seen. If you notice flashing lights or shadows over your vision, that would be an emergency.
I would just mention it to your eye doctor at the next visit.