The north London side currently sit fourth in the Premier League, only four points off top and four clear of fifth-placed Crystal Palace.
And Martinez expects even more from Tottenham ahead of their clash with the White Hart Lane outfit on Sunday afternoon.
The Everton boss is quoted as telling reporters: "It's not surprising to me how consistent they've been and how difficult they are to play against.
"I expect Tottenham to have a stronger second half of the campaign, that's why we'll have to be at our best."
For a lot of Spurs fans, of course, that is exactly the big question that faces the north London side.
Tottenham supporters have witnessed many great starts to a season but it's how a team finishes that defines their overall campaign. Last term, Mauricio Pochettino's men did better as the season progressed - rallying late on to secure fifth place.
This term, a stronger second half can only mean one thing: a top-four finish.
The Everton clash is the perfect test for Tottenham's credentials. The Toffees have struggled of late and just aren't finishing off their chances in most games. When they are, they are conceding goals galore at the other end. Can Spurs capitalise?