The 42-year-old singer is thought to be ready for a fourth trip down the aisle after announcing that she was parting ways with Marc Anthony last July.
A source told Us Weekly: "She's telling friends she wants to marry Casper. She's certain she wants to be with Casper forever."
At a press conference for her upcoming world tour with Enrique Iglesias and Wisin Y Yandel, Lopez announced that her partner of six months will play a vital part in putting her show together as co-choreographer.
"I'm working with [choreographer] Jamie King, and also Casper Smart. It's going to be an amazing, amazing show," she confirmed.
Lopes added that the event will be "one of the most historic tours ever," saying: "There's never been something like this, where Latinos come together like this... It's international - English and Spanish.
"I just think it's very groundbreaking. I was honoured to be asked to be a part of it."
American Idol judge Lopez has previously been married to restaurant waiter Ojani Noa and former backing dancer Chris Judd.
Watch the video to 'Dance Again' by Jennifer Lopez and Pitbull below: