Roma have won eight from eight so far this term.
"Boss Rudi Garcia is always giving the example of Atletico Madrid who have won eight in a row, but won’t necessarily go on and win the Liga," said De Rossi.
“We need to think about us, who once won 11 games on the trot but still ended that season in fifth place.
“If we continue like this then we can have our say at the highest levels.
“But we still haven’t won anything yet – even if perhaps a few of the big clubs are now scared by us.”
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