The Giallorossi have taken a maximum of six points from their first two league games without conceding a goal and put five past CSKA Moscow midweek in the Champions League.
"Besides the great result against CSKA, I think what is most significant is the fact that we started the competition with a victory," the 37-year-old said, according to Sky Sports News.
"We cannot get carried away, we must immediately turn our attention to our next game."
Roma face Cagliari this Sunday, which Totti believes 'should be their only their only focus'.
The Giallorossi will be looking to better their finish in the table from last season after they were runners-up to champions Juventus.