Alan George Smith, 80, collapsed during the first half of the match at St. James' Park and play was suspended while his condition was stabilised.
He was subsequently transferred to the Royal Victoria Infirmary (RVI) in Newcastle city centre before being moved for specialist care at the Freeman Hospital.
Mr Smith's son, Paul, said: "We are pleased to advise that Alan is making great progress, is now fully alert and is up and walking about. He will remain in hospital over the next few days while further tests are carried out.
"He and our family would like to say thank you to his friend, Don Williamson, who was with him at the time and alerted everyone to his condition.
"We would also like to thank and pay tribute to the doctors and nurses who administered CPR, the paramedics from North East Ambulance Service, St. John's Ambulance, fans and stewards at the scene, as well the medical staff at the RVI and Freeman Hospital. We will be forever grateful.
"We would also like to say thank you to all of the people who have wished Alan well on social media and the players and staff of both Newcastle United and Tottenham Hotspur, especially Jamaal Lascelles who has sent a personal message. It meant so much to Alan.
"He is looking forward to getting back to St. James' Park as soon as possible."
The family has requested privacy at this time and requests that any media enquiries are directed to the club's press office.