Despite Rumors, Jennifer Lopez and Alex Rodriguez Have Not Ended Their Engagement 133 Shares Jennifer Lopez and Alex Rodriguez are putting reports that they have ended their engagement to rest. In a joint statement obtained by People on March 13, the pair stated, "We are working through some things." A source confirmed to the outlet that, "They never officially broke up and talked about it but are still together. They hit a rough patch. But were not broken up." The source also added that rumors surrounding an affair with Southern Charm's Madison LeCroy "had no bearing on the rough patch at all. "