The Tottenham and England winger has impressed since arriving at Goodison Park in January but Martinez admits the Toffees are some way from securing the services of the 28-year-old for next season.
“We’ve sat down but we haven’t had (the) opportunity to go into real detail on figures,” he said after a meeting with chairman Bill Kenwright.
“We want to be very strong next season and that means we need to keep hold of all our good performers.
“We’ve identified three or four positions that we need to strengthen but we have nine points to play for before we can plan for any future squad.
“I think it is a very significant game at the weekend for Aaron. It is the last home game he will be available for and I think he has had a phenomenal impact in our team.
“He has set high standards and made a massive contribution and I would expect exactly the same over the next two games and we want him to finish as strong as he can.
“I think he has enjoyed it and over the next two games we want him to carry on with the levels.
“After that we will sit down and see where Aaron wants to be and what his thoughts are.
“Whatever happens in the future, it needs to be something that the player is happy with. We haven’t had any sort of conversation with Spurs.”
Lennon joined Spurs from Leeds for £1m in 2005 but fell out of favour with new manager Mauricio Pochettino at the start of the current campaign.