jordyn

It shouldn't be a problem if the flights are all on Delta. I presume there's no fare rule on the original ticket requiring a minimum layover time, so taking another round-trip during the layover wouldn't be attempting to evade a minimum stay requirement. Similarly, since none of the flights would overlap and OP would intend to fly them all, they're not impossible. Delta's computer systems seem to be the most forgiving of the big three in terms of overlapping flights to begin with, but even AA (who are very aggressive about detecting and cancelling overlapping flights) would allow this.