Francesco Totti scored the only goal of the game as the Giallorossi ended a run of six games without a win.
Conte claimed that three games in seven days have taken their toll on the Bianconeri, and he hopes that the fixture list will be kinder to his team in future.
"I already said before the Fiorentina game that we certainly didn't like playing three games in seven days," Football Italia quotes Conte as saying.
"We were bound to pay for that with fatigue and one more day would've helped us to rest and reorganise. This is the only excuse I can give for today, as we did not play as a team and when we do that anyone can beat us.
"Compliments to Roma, it was a good victory. I hope in future when the fixture lists are drawn up there can be a little more respect for a club that is taking Italy forward in Europe."
Juve beat Celtic 3-0 in Glasgow on Tuesday.