Peter Crouch's late strike in the San Siro proved to be enough to see Spurs reach the last eight after they held out for a nervy goalless draw with the Italian giants at White Hart Lane.
Redknapp's side have won over the hearts of many neutral supporters with a brand of attacking football that has been good enough to see off Milan, Inter, Werder Bremen and FC Twente in what has been an incredible debut season in the competition.
Terry Venables was the last Englishman to reach the quarter-finals in Europe's premier club competition in 1986, but no other home-grown manager has repeated the feat in the modern era since the trophy was revamped and rebranded as the Champions League.
But Redknapp insisted he would not be over-awed by his' side's achievements, saying: "I'm not getting too carried away.
"I'm just looking forward to getting home tonight and having a cup of tea and a bacon sandwich and taking the dogs out. It's a great night for Tottenham but we are not going to celebrate."
Source: PA
Source: PA