What do you mean by coverage gaps? Your towers will play all frequencies down to about 80hz where your subwoofer will pick things up. Don't forget, crossovers aren't brick walls. Your towers are still playing frequencies below 80 and your subwoofer is playing frequencies above 80 (if that is your crossover point), but anything above the crossover (for the subwoofer) or below it (for the towers) is tapered off.
Now because they're both reproducing those frequencies at the crossover point, albeit at lower levels, they combine to level out what you actually hear so it looks more like this. Where the dotted line is what you are hearing.