The west London side looked to be cruising to victory after debutant Oscar netted twice in the opening 40 minutes on Wednesday evening, but were pegged back as Arturo Vidal and Fabio Quagliarella earned Juve a point.
And Ivanovic has now expressed his determination to help Chelsea improve on a disappointing start to the defence of their European crown.
"We are playing differently this year, with more emphasis on attacking, but everyone also has to be focused on defending and being organised," he told reporters. "This is what helped us get good results last year.
“It is very difficult, but it's all about our concentration and motivation. Personally, for me, I have very big motivation for this year.”
The Serbia international went on to accept that Roberto Di Matteo's side will be targeted this term given their status as reigning champions.
He added: “Everyone knows when you win something - it doesn't matter if it's the league or Champions League - everyone is more motivated against you. So you have to be ready and be strong.
"I think we are - it's just we need a couple more games. We are much more creative in the attacking third, but we have to have the right balance and still work hard to get to the top level.
"It's more of a mental situation because our training is hard enough to prepare for a good game. Physically, we are ready but, mentally, we have to do more and be stronger."
Ivanovic also defended team-mate Fernando Torres, insisting the striker was "doing very well" and "fighting for every ball".
He added: "Sometimes he is alone without the support of others and it is very difficult to fight against three defenders."