The Toffees have recovered from a throughly disappointing opening two thirds of the season to come into some form in recent weeks, and have now taken 10 points from their last four games to move closer to the top half of the table.
Before that run, Everton hadn't won in five league games, with Europa League exertions seemingly undermining their domestic form.
But now Lennon, who has impressed since joining the club on loan from Spurs in the January transfer window, is full of belief that he can help the Merseyside outfit remain undefeated until the end of the season, and claim a spot in the top ten, especially with four home games remaining for Roberto Martinez's men.
The former Leeds youngster, whose Spurs future is up in the air after ten years at White Hart Lane, also admitted that he has enjoyed his time at Goodison Park.
“I’ve enjoyed it since the moment I got here,” said the England winger.
“Goals are even nicer to get but it’s not about me, it’s about the team. We have been on a good run - we are unbeaten in four now so we will try and continue that for the rest of the season.
“I don’t see why we can’t get a top-half finish. We are on a run now and have got some good games coming up with points still to play for.”
After Lennon scored successive away goals for the first time in his career with the opener against Swansea at the weekend, some Spurs fans would surely be interested in seeing their former favourite back in North London. But if he is not going to get regular football under Mauricio Pochettino, it would be no surprise to see the speedster push for a permanent move to Everton in the summer.