The Giallorossi made a statement of intent with their 3-1 victory away to Inter.
"That win was good, but we have to keep our feet on the ground, because in Rome people get ahead of themselves," Burdisso told the Corriere dello Sport.
"In that sense the break for international duty is helpful to let the dust settle and allow us to get back to work with humility and determination.
"I am not superstitious, though, and the word 'Scudetto' does not frighten me. I say that Roma deserve to win and their place is among the top clubs. Therefore, Roma will fight for the Scudetto. Challenging to the very end is the minimum objective.
"This side is mature and has renovated the squad. Plus we have to add Zeman, who has more experience and history than Luis Enrique, but the same ideas: he wants to play to win in every stadium."