Victory at Newcastle on Sunday, followed by another at home to QPR on the final day will, barring a mathematical miracle, be enough to secure the Blues their first title since 1968.
Kompany said: "Absolutely buzzing. We've been waiting for this moment.
"It's far from over and we know that, but to give our fans two wins over United this season... we have to finish it off and we have to do it over the next two games."
The euphoric City skipper added on Sky Sports 1: "Someone texted me today and said he thought I was going to score the goal, and I thought he was a lunatic!
"For us to get this result, we wanted it so bad.
"It all comes down to the dream we had when we were children, and we all want it so much."