Everton have lost just once in their first 17 league games, to Manchester City at Etihad Stadium, and are unbeaten in 10 matches.
Hopes are high among the Goodison Park faithful that the Merseyside club could qualify for the Champions League for the first time since 2005.
Martinez is happy to play down expectations, but has no doubt there is plenty more to come from his men.
"It would be a mistake for us to talk about the end of the season in December. All we want to do is fulfil our potential," said the Spaniard.
"I still don't think we have fulfilled our maximum and we will focus on important games coming up in a short period of time.
"You need to get as many points as you can until April. Then you have nine or 10 games left and then it's realistic to speak about what sort of aims you can fight for.
"We've only had one defeat in 17 games, we got an important win versus Chelsea, we beat Man Utd, we drew against Arsenal and lost against Manchester City so it's an open competition, but it's pointless to look at the table."