But the celebrities issued a statement to CNN Saturday morning saying they are still together and "working through some things."
The breakup buzz came after the couple twice postponed their wedding.
"You know we tried twice in 2020. We got bit twice by COVID-19," Rodriguez said in January on The Tonight Show Starring Jimmy Fallon. "You know, they say third time's a charm, so let's hope it's what we want to hear."
Rodriguez, 45, was out sailing in Miami on Friday, while Lopez, 51, was filming Shotgun Wedding in the Caribbean.
Rodriguez was married to Cynthia Scurtis 2002-08. They are the parents of a daughters, ages 12 and 16.