"It would be very wrong if he said he wanted to become world number two now," he said.
"I think maybe at the end of the year [he can do it], maybe the beginning of next year. Or, if not then, he's got a shot until next Wimbledon almost - if he were to win there."
The Swiss feels Murray's fine summer could prove the catalyst for such an achievement.
"I think he's done so well," Federer added. "His reaction was amazing after not winning Wimbledon against me.
"Then coming back to win the Olympics and bringing the victory home for his first Grand Slam at the US Open was great to see.
"I was very impressed and I'm sure that's going to give him confidence for what's to come.
"How me, Novak and Rafa - whenever he comes back - and the rest of the players will play will have a little bit of an impact.
"But, overall, Andy has some control over that himself now."
Replies to This Discussion
With the new confidence and the monkey off his back it is definitely possible. He will have to stay consistent throughout masters 1000s and the 500/250 series. It shouldnt be too hard for him to get deep into these tournaments but I dont think I have confidence in his consistency.
Murray doesn't have as many tourney wins to defend in the next year like Fed does. Maybe that's why Fed is putting the gentleman's pressure on Andy. lol