No problem. I live in AZ, so my room temp is around 78-82 degrees, and my beers turn out great using that process.
Just make sure to allow the beer to hit FG before you move it to much warmer temps. Allowing it to warm up to 70-72 is fine towards the end of the ferment, but if you still have 10-20 gravity points to go, moving your carboy to 78* is a surefire way to get some esters.
But yes, once you've hit FG, you're fine.