The case for introducing technology to aid football referees was brought into focus on Sunday when England's Frank Lampard was not awarded a goal in the match against Germany despite the ball clearly crossing the line.
England went on to lose the second-round match 4-1, but the decision not to allow Lampard's first-half strike was a major talking point.
HawkEye, which is used to decide whether a ball has landed in court, was first used at Wimbledon in 2007, but FIFA president Sepp Blatter - a Swiss compatriot of Federer's - opposes introducing a similar system for football.
Federer, a long-time critic of the HawkEye system in tennis, said the significance of goalline decisions meant it was high time football followed tennis's lead.
"We have electronic line calling even though we don't need it," the Swiss said after waltzing into the quarter-finals at the All England Club with victory over Austria's Jurgen Melzer.
"They should have it, and they don't. So it's a choice the guys have to make at the top. I think it's rough. To me it seems like it's just crying (out) for a change.
"One forehand down the line doesn't change the outcome of the match; whereas one goal changes the entire mindset of a team, of a strategy."
Federer said tennis had line judges whose only job was to oversee line calls and so HawkEye was unnecessary.
"Guys are sitting there, not moving. They're only staring at the line. It's so much more simple. It's going to even out throughout a career or a season, the good and bad calls.
"Whereas goals, it's such a huge impact in those 90 minutes. It changes everything."
