Lennon has brought the 32-year-old in to strengthen the central midfield and allow flair players such as Paul McGowan and Kenny McLean to go forward with confidence.
And he feels the Cameroon international can also boost his side's passing game.
Lennon, who signed Djemba-Djemba on Wednesday after the former Aston Villa, Odense and Hapoel Tel Aviv player was released by Partizan Belgrade, said: "His name came up and he excited me.
"We did our due diligence and we liked where he has been for the last three to five years.
"He has played a lot of football within that.
"He has still got ambition as a 32-year-old. He wants to get himself out there and give himself every opportunity to go to the World Cup and we can give him a platform to build on that.
"He has vast experience. He has played in World Cup finals, he has played Champions League, he has played Confederations Cup, he has won the African Nations Cup, and he is ambitious enough that he wants to go to another World Cup.
"He will give us that balance of defending when we are attacking, and - along with Jim Goodwin in there - I am delighted to have that experience.
"He is a lovely passer of the football as well. And that sits well with our philosophy."
- Sports & Recreation
- Dundee United