Jenas says Tottenham star's fearless attitude is to be commended.
Alli is only 20-year-old and is heading into his first international tournament after just one season playing in the Premier League.
He took the top flight by storm with Tottenham Hotspur last season, scoring 10 goals, and Jenas believes his confidence and fearless nature will see him succeed at the European Championships.
Dele Alli celebrates after scoring the first goal for Tottenham
Jenas says that Alli has little respect for his opponents - but in a positive manner - A case in point being the way he nutmegged Luka Modric in a pre-season friendly against Real Madrid last summer.
He said: "He’s a player I can really relate to. He plays in that attack and midfield position and if England play him in that position where he’s most effective, he can do whatever he wants.
"He’s got this unbelievable gift of having almost no respect for anyone he comes up against."
Alli has already shown his talent for England, netting an outstanding goal on his debut for the Three Lions against France at Wembley last Autumn, and did not look out of place in the impressive friendly win against Germany.
Dele Alli scores the first goal for England
Alli is in contention to start for England, although this has been thrown into doubt with Wayne Rooney changing position to midfield, and the possibility of Harry Kane and Jamie Vardy playing up front together.
Rooney himself can be a guide for Alli, excelling as a teenager at his first tournament in 2004 - form he has struggled to replicate since for the Three Lions at World Cups or European Championships.
Wayne Rooney scores for England against Croatia at Euro 2004
Regardless of the selection, Jenas believes England have a good chance of going far, commenting: "I’d be delighted with a semi-final position for this young group of players.
"I’ve been saying time and time again that if they go on to do anything special in the next major tournament, it will be because of what they do in France. If they do get to a semi-final, they need to get through a penalty shootout though, I feel."
England's first game is against Russia on Saturday, before games against Wales and Slovakia.
Turkey's Mehmet Topal in action with England's Dele Alli