Lopez deleted any photos of her with Rodriguez at the inauguration of U.S. President Joe Biden in January, but left a video of her performance.
Neither Lopez nor Rodriguez have commented on the news.
The pair got engaged in March 2019, but postponed their wedding twice as a result of the coronavirus pandemic, and confirmed their split in April.
Later in April, numerous publications reported Lopez was in a relationship with her former fiancé Ben Affleck again, with the Jenny from the Block hitmaker confirming their resumed status on her 52nd birthday in July.
The A-list couple originally dated from mid-2002 to early 2004