The 33-year-old last lifted a major trophy at Wimbledon in 2012 but he has been in good form this season and is yet to drop a set in Paris.

“Would winning a grand slam make me play longer? Possibly,” Federer said.

“I may stop the following day or I may go on for another five years, I don’t know.

“What I can tell you is that if I win Wimbledon or another grand slam, I’ll be extremely happy so it won’t make a difference.”

Federer will now face either France’s Gael Monfils or Uruguayan Pablo Cuevas, who play later on Friday, and the 17-time grand slam champion will take confidence from an accomplished third-round performance.

“My own game was good,” Federer said.

“It took me a little bit of time to get into it, to understand how is he serving, plus he was serving a few of the lines in the beginning.

“And then the wind was playing quite a big factor today early on, which made me mishit a few shots.

“Then once I got the rhythm it got better and better, and I was able to play more freely and mix up the game.”

Dzumhur, who is the highest-ranked player ever from Bosnia and Herzegovina, said it was a privilege to play against Federer, whom he used to idolise when he was growing up.

“I was warming up and I was still not believing that I’m playing Roger Federer, I was feeling so strange, like I was dreaming,” Dzumhur said.

“People from Bosnia told me that today everybody was in cafes or in their homes, nobody in the streets, they were watching me.

“I am playing just the third round of a grand slam, but for Bosnia, it’s like our football team playing in the finals of the Champions League, it’s like that.”

Joining Federer in the last 16 is Swiss compatriot Stan Wawrinka, who cruised past American Steve Johnson 6-4 6-3 6-2.