The Lilywhites are currently in fifth place in the Premier League table, but Jenas feels that Spurs have enough quality to make up the ground and break into the Champions League qualification spots.
Jenas was hugely impressed by Spurs’ performance in their 1-1 against Arsenal yesterday, and he believes that Harry Kane’s good form has meant that their only worry has now disappeared.
"Everyone at the club will want to stay under the radar so they probably will not appreciate me saying this on Match of the Day 2, but I am certain they will finish in the top four this season," Jenas enthused.
"A lot of that is down to Pochettino's training methods and his willingness to use young players. It means they have got energy and pace all over the pitch. They look as fit and strong as any team I have seen this season.
"Defensively they look solid - the only worry they had earlier in the season was over Harry Kane's form, but now he is banging in the goals again.
"Spurs have been getting better every week and it looks to me like they are close to the peak of their powers. They deserve to be in the top four."
Tottenham were the dominant force for large portions of their match against Arsenal, and they may have felt that their performance deserved to be rewarded with three points.
The Lilywhites scored the opening goal in the contest through Harry Kane, and they were on top right up until Kieran Gibbs netted a 77th minute equaliser.
After that Arsenal turned the tide somewhat, but Spurs will still feel very pleased with their performance at the Emirates Stadium.
Tottenham are now unbeaten in 11 Premier League matches, and Mauricio Pochettino appears to be on the verge of creating something very special at White Hart Lane.