England's rise through the World Cup tournament has dispelled decades of frustration at past dismal performances.
Despite the possible clash, with the World Cup final due to kick off at 4pm, Mr Lewis said the stands would be "packed" and spectators could use "modern technology" to follow the football at the same time.
Club rules that all mobile phones and tablets should be switched off "in and around the courts of play" have been relaxed, however, with Lewis stating that they would only be enforced if they affected others.
Centre Court was only a third full on Saturday when droves of fans left the arena to watch England's victory over Sweden.
The club has now said spectators will be allowed to watch the World Cup semi-final against Croatia tomorrow while sitting just yards from players competing on court.
"We are a sold-out event and there's massive interest", he said.
Wimbledon officials are refusing to show any games from the World Cup on the All England Club's big screen, Reuters report, despite clashes between the championship's matches and England's games in Russian Federation.
An ever bigger clash awaits if England reach their first final since winning the World Cup in 1966 because the men's Wimbledon final would likely overlap with the decider in Moscow.
Having said all of this, if England are 1-0 up at half-time, you can bet your life that if whoever is in charge of the big screen on Henman Hill doesn't change the channel, they'll be subject to a sustained verbal volley of a ferocity which John McEnroe could only dream of.
"Saturday was one of the most special days I can remember at the championships". We didn't receive a single complaint from anyone who was here who felt their enjoyment of the tennis was interrupted and I'm sure it'll be the same next Sunday. I thought that went really well.
Lewis said he had not asked Federation Internationale de Football Association to consider moving the World Cup final to a different time.
"They'll hear every point, Wow, love-15, 15-30".