It will, but CO2 emissions should level off well before then and probably drop. Even in the worst emissions scenarios we can't keep doing what we're doing very long and people are going to make change the worse it gets. Its one thing when its people getting flooded in one city or just a handful of people (relatively) losing their homes to fires but pretty soon the bottom line is going to be food and economic damages to EVERYONE so its not really realistic that we can continue to increase the CO2 concentrations for another 100 years.
There will be some lag time with heating but most of the projections show that most of the heating happens before 2100. Now, just because its not heating doesn't mean is cooling down. Without actively removing CO2 from the atmosphere, temps will stay at those levels for thousands of years.