The 27-year-old winger left Tottenham for Premier League rivals Everton on loan on transfer deadline day for the rest of the season.
Lennon had been struggling for playing time under Spurs manager Mauricio Pochettino, having managed to make only nine appearances in the Premier League this campaign.
At Everton, though, the former Leeds United star is expected to slot straight into the starting line-up, and Jenas backs his ex-teammate to regain his form at the Merseyside outfit.
“He can turn their season around,” the 31-year-old told BBC Sport. “Lennon will fit into the way manager Roberto Martinez wants his team to play."
Everton have been looking for width, and in Lennon they have a player who will provide just that.
Not gifted with the best technical skills, the England international’s pace, directness and ability to whip in crosses will be important for Everton as they try to climb up the Premier League table.
It will be interesting to see whether Lennon can hit the ground running at Goodison Park. The Leeds-born winger has not played much football and has not always looked great when he has featured.
Lennon is in line to make his debut for Everton against Liverpool in the Premier League on Saturday. Perhaps he will show what he is capable of in the Merseyside derby.