Spurs have lost just two of their first 19 Premier League matches, and they are currently just four points away from the top of the table.
Mauricio Pochettino’s side are now being discussed as possible title winners in May, but Shearer feels that breaking into the top four will be a more realistic achievement for the Lilywhites.
“Up until now, Spurs have been very quiet and they have sort of crept under the radar,” the former Newcastle United striker said.
“They have an unassuming manager. The chairman does not say a lot. They have a very young squad, and one with depth, apart from the centre forward position, so they can win the title but I don’t expect them to. I think a more realistic target would be to finish in the top four which would be a great achievement.
“Tottenham have a very strong spine to their team. Like United and Chelsea, they have a world-class goalkeeper in Hugo Lloris. They played three centre-halves against Watford to nullify the threat of Deeney and Ighalo and it worked for them. Dele Alli has been superb for them this season and they have a red hot striker in Harry Kane.”
For Tottenham to even be considered as a title contender is a remarkable feat.
Spurs made good progress under Mauricio Pochettino last season, but few could have predicted such a rise.
Tottenham are on the verge of achieving one of their most memorable seasons in recent memory, and their position inside the top four is starting to look secure.
Spurs are four points clear of fifth placed Crystal Palace, as things stand, with their next match coming against Everton at the weekend.