The Premier League leaders will take an enormous advantage back to the Etihad after they destroyed Basel 4-0 on Tuesday night.
But speaking to BT Sport straight after the win, Kompany was certain City wouldn't be settling for anything less than a win in Manchester.
He said: "We played against a back five and they're similar to Chelsea the way they get out, so as a back four you are stretched.
"For a Champions League game we did ever so well.
"In these kinds of situations it is about more than going through - if we have a draw at home that won't give us a good feeling."