Allardyce thinks his team are shaping up well ahead of Sunday's London derby.
"We have to say we are a little more consistent (than Tottenham) if we have more points than them," the West Ham manager told talkSPORT after last night's 1-1 draw against Stoke.
"Every game is a tough game for us but I thought we did extremely well against Stoke based on the injuries we had.
"We have played 12 matches and we are (joint) sixth in the table with 19 points.
"Sixth in the table is a pretty good start for anyone, let alone a team that has just been promoted."