"Roger Federer certainly is my claim to be the best of all time if there is such a thing," said the 73-year-old.
"Roger's got all the shots, his anticipation is unbelievable, his timing off the groundstrokes with his shots, his single-handed backhand is one of the best there is.
"But at the same time, I look at Rafael Nadal and what he's done to win seven French Open titles and Wimbledon.
"Being able to play with somewhat of a suspect knee, his way of motoring around the court and tracking shots down is quite uncanny.
"They're very close. Are they great champions and do they have equal abilities? I'd say 'yes', they're pretty much equal."
Federer will take on Novak Djokovic in the semi-finals at Wimbledon tonight - the two tennis titans' first career encounter on grass.
Should Federer win, and then equal Pete Sampras's seven titles at the All England Club, the 30-year-old Swiss would also supplant Djokovic as world No.1 and match Sampras's all-time record of 286 total weeks atop the rankings.
"Obviously it's a big deal - no denying,'' Federer said.
Andy Murray will face France's Jo-Wilfried Tsonga in the other semi-final and bid to become Britain's first male finalist at Wimbledon since Bunny Austin in 1938.
But Laver, the last man to complete a calendar Grand Slam in 1969, has told the Scot he must be more aggressive if he wants to end Britain's 76-year wait for a male Grand Slam champion.
"He plays a safe game a little bit too long," Laver told the BBC.
"That allows an opponent to be more aggressive, rather than continually putting pressure on an opponent.
"Murray gets in a position where he's maybe up a break or in a position to win a game, and he just plays it back.
"That's when you put your foot down and make sure you win that point so you get either two breaks or you get a break back.
"That's the one thing I think maybe he's missing, being able to say 'I've got to win this point' or 'I've got to break serve here' or 'If I get a chance I'm not just going to play it back, I'm going to be aggressive'."