The 22-year-old Bulgarian earned the nickname not just because of a similar playing style to Swiss great Roger Federer, but also owing to his boyish good lucks and charm.
He followed Federer into the second round today with a 6-1 6-4 6-3 win over Simone Bolelli but quickly declared it is time for the comparisons to stop.
"I think this is getting pretty old, that's the one thing I have learned in the past months," he said.
"I'm building up my own style and becoming Grigor Dimitrov, which is great. It's nice to hear but this thing has come to an end."
Dimitrov finds himself in a half of a draw devoid of three members of the 'big four', with close friend Novak Djokovic the main threat.
As a result, there is a sense that someone from outside of the usual cartel can make a run deep into the tournament, but Dimitrov is taking a cautious approach.
"Today was a great day for me, I played a good match," he said.
"I think the most important thing is to go match by match. There have been a few surprises already which give a lot of opportunities to other players and why not?
"The most important thing is to stay focussed and have a good state of mind and attack each match the way you can."
One thing Dimitrov would not talk about, though, was the row between Maria Sharapova, his reported girlfriend, and Serena Williams, which has been one of the main talking points of the tournament so far.