The 24-year-old took bronze from his first-ever Games in London yesterday afternoon, despite failing to clear 2.33m.
Having achieved that feat, Grabarz is now keen to go two better in Brazil.
"I can't tell you how much I want more of it. It's fantastic. Looking at a performance like that, all you can do is dream of the gold in Rio," he told BBC Radio Cambridgeshire.
Grabarz won gold at the European Championships earlier this year.