Oxygen exchange happens at the water surface. As long as the water is being moved about then there will be enough oxygen in the tank.
The filter doesn't need to be putting actual bubbles into the water; as long as it's making the surface ripple, then that's good enough. The bubbles don't directly put oxygen into the water; their surface area is too small and they're not in contact with the water for long enough to oxygenate it. All they do is help with water movement by moving water from the bottom of the tank to the surface, but if your tank is properly filtered then the filter will be doing that job on it's own.
It is very, very rare to not have enough oxygen in the water, although some medications can have that effect; most times, if the fish seem to be gasping for air, it's not due to lack of oxygen but something (ammonia and nitrite both do this) that's preventing the fish from absorbing it.
I run eight tanks, all healthy, and not a single one of them has any bubbles of any kind, neither from the filter or an air pump.