The development comes a week after the Lifetime movie "Imperfect Justice" started shooting, the report said Wednesday.
"Holly moved on and they recast the role," a source close to the production told the celebrity magazine. "This is one of those decisions that happens all the time. Holly was good and very talented; it just didn't work."
Anthony was acquitted in July 2011 of murdering Caylee in 2008. The child's skeleton was found in a wooded area near Anthony's home several months after Anthony reported she had been kidnapped, a claim she later recanted.
The cause of Caylee's death was not determined due to the condition of her remains. No one else has been arrested in the case.
Celebrity Families of 2014 [PHOTOS]