Not as fast as it would if we had an unimpeded exponential model.
But there is a lot more than that to it - such as, is it mutating, if so - to a more or less lethal form, is it reinfecting people, how long is the incubation period, how well does it survive outside of carriers, etc. I'd say at this point there is too much we don't know to make any solid conclusions regarding this situation.