Spurs moved up to third in the Premier League table with a comprehensive 3-0 win over Leeds United on Saturday, with goals from Harry Kane, Son Heung-Min and Toby Alderweireld helping them climb the league.
Only Liverpool and Manchester United are currently above Jose Mourinho’s side, who are four points behind the league leaders.
Chelsea will draw level on points with Spurs if they beat Manchester City on Sunday afternoon, with the title race wide open this season.
Jenas insists his former side Spurs are in the hunt, along with the likes of Chelsea and United, however, he still thinks defending champions Liverpool and Manchester City will end the season at the top of the league.
‘It’s there for a lot of teams, to be honest,’ Jenas told BT Sport after their 3-0 win over Leeds United.
‘He’s turned it around to the point where they’re joint-top of the Premier League.
‘The situation here at Tottenham is the same. They’ve had a bit of a blip.
‘Chelsea have had a bit of a blip and now the question marks will be with Frank – can they come out of it?
‘I still think Liverpool and City are going to be the two teams that will go all the way but it will be nice to see if Tottenham can really push them and get that experience.’
As well as flying high in the Premier League, Mourinho will be hoping to land Spurs a first trophy since 2008.
His side are in the semi-finals of the Carabao Cup, where they will face Championship outfit Brentford. Should they progress to the final, they’ll meet either Manchester City or Manchester United.
‘It’s a huge week ahead,’ added Jenas. ‘It’s a trophy Jose likes to get in the cabinet early, it kind of shuts down the whole conversation of he’s not won anything at that football club.
‘Especially here, at Tottenham, he knows – since I was here it’s the last time they’ve won anything. That’s too long for this group of players that’s been here.
‘I’m confident they’ll get to a final. It’s just about if they can cross that line. Big week ahead and it starts obviously with a top performance with they way they played today.’