The Nerazzurri currently sit second in the Serie A table, trailing leader Juventus by seven points, and Chivu feels the club has already proven that it has what it takes to go far this term.
"We're a side that still needs to improve, but we've shown we can get big results, that's why we're second," Chivu told RaiSport. "We've made progress and will continue to do so. I'd have taken second in December, had you asked me back in August. Now we'll keep working."
The defender then went on to discuss the race for the Scudetto, and stressed that Juventus is not out of the Nerazzurri's reach yet.
"They're the team to beat. We know how good they are but there's still half the season to go," he added. "Technically speaking there's not a lot between Juve and Inter. Perhaps they have a slight psychological edge, being reigning champions. We need more consistency now, and need to beat the smaller teams."
Chivu has made only one official appearance for Inter in 2012-13 due to injury, but is expected to make his comeback shortly.