Such is the continued popularity of the duo – who were key members of Bill Nicholson's squad that lifted the FA Cup in 1967 and went on to win the League Cup in 1971 and 1973 and the UEFA Cup in 1972 – that the induction ceremony was split over two nights for the first time ever to enable everyone to honour Mike and Alan.
And upon their induction at White Hart Lane, Mike and ‘Gilly’ had some poignant tales to tell surrounding why the ceremony was so special for them.
“When you look at the names that have been inducted before us – it’s quite incredible really,” Mike began. “I’m just so pleased because when they asked me to come down I said it’s a bit late now for me – it’s so long since we stopped playing.
“But as soon as they told me that Alan was going to be inducted as well I said ‘no problem, that would be brilliant,’ because this guy (pointing to Gilly) was some player, I tell you! It was a pleasure to play in such a team and so I’m really thrilled (to be inducted).”
Alan, meanwhile, took the opportunity to pay tribute to the late John White – another of the stars of our early 1960s endeavour whose life was tragically cut short in July, 1964.
“It means a lot to me because when I played for Scotland before I came to Tottenham, the guy who more or less convinced me to come to Tottenham Hotspur, and who was my room-mate with the Scottish team, was the great John White,” Alan explained.
“Unfortunately John was killed in a lightning accident and I never had the pleasure of playing for Tottenham with him, but he is in the Hall of Fame so I feel like I’m meeting up with John again.”
Tuesday night saw the second of two well-attended evenings at White Hart Lane, with Mike and Gilly joined by fellow legends Cliff Jones, Phil Beal and Martin Chivers.
Pat Jennings, Alan Mullery, Graham Roberts, John Pratt, Paul Miller and Mark Falco were present for the first night on Monday.
And while delighted to catch up with their fellow ex-players, Mike and Alan were also thrilled at the reception from the impressive turn-out of Spurs supporters on both nights.
“It was quite incredible and the enthusiasm that was shown and the way that they (the attendees) greeted Alan and myself was brilliant – absolutely incredible,” beamed Mike.
Alan concurred with his new Hall of Fame colleague’s sentiments, adding: “We were applauded everywhere and signing autographs – just like the old days!
“Spurs fans have always been fantastic to the team. They’re always behind the team, always giving them encouragement and it was just like that again on the nights.”
Central defender and Welsh international Mike made 397 competitive appearances for us - he's 11th in our all-time list - and scored 19 goals.
Meanwhile, striker Alan, snapped up from Dundee in December, 1964, went on to score 133 goals in 439 appearances - placing him eighth in both our all-time appearances and goalscoring lists.
Alan and Mike's plaques have been added to the Hall Of Fame in the tunnel at the Lane and are available to view on Tours from today (Wednesday).
Come and see Mike, Alan and all our legends in the Hall Of Fame, plus the all-new Under Armour fans' mural, as part of our popular Stadium Tours.
Full details on our tours here...