Expectations in Murray’s absence have only grown since Edmund's Melbourne Park run and since he resurrected his season with a maiden final in Marrakech.
Subsequent victories over Novak Djokovic and David Goffin on the clay to reach the Madrid quarter-finals placed him in the limelight as the No.1 Brit heading into the season’s second Grand Slam.
“When you look back at your career, it's nice to be in the position to be the British No.1. I guess it's one of those things where you grow up sort of dream of doing or it would be nice to be in that position,” Edmund said.
“For me, it's the world ranking you obviously want to try and improve.
“The reality is it's a bit of a crossover for me improving but also Andy being injured, that's the reality. And Andy is, you can safely say, a top-four, top-five player, that's pretty much what he's been all his career.”
Edmund will face a stern test in his next assignment when he meets first-time titlist Martin Fucsovics.
The Hungarian world No.45 breezed past Canadian Vasek Pospisil 6-3 6-3 7-6(5) in his first match since he claimed the Geneva Open on Saturday.
It's a fourth straight year in the second round at Roland-Garros for Edmund, but he's not content to stop there; this is a man now playing and talking like a repeat of his deep run Down Under was no fluke.