The pair are said to have taken a private jet to Morocco earlier today (December 1), before she performs at the launch of the Morocco Mall in Casablanca.
Lopez and dancer Smart have previously gone on vacation in Hawaii, along with her 3-year-old twins Max and Emme.
"Jennifer had the best time in Hawaii with Casper and her two kids," a source told People. "She felt rested and was excited to head to Casablanca for work."
Smart also shared his excitement for the latest leg of their holiday, tweeting: "getting all my stuff ready and packed for Casablanca tonight... off to Morocco!!!! (sic)"
The source added: "Casper is with her, but she left the kids in LA. Jennifer is expected back in LA before she heads to Peru with her kids for work [filming Q'Viva: The Chosen]."
Jennifer Lopez filed for divorce from husband Marc Anthony in July after seven years of marriage.
The American Idol judge is rumoured to be planning a greatest hits album release in 2012.
Watch Jennifer Lopez's video for 'On The Floor' featuring Pitbull below: