The actress played Ana-Lucia in the show but was killed off in the second season. She later returned in season five to appear in one of Hurley's visions.
Entertainment Weekly claims that Rodriguez has now agreed to join the series for at least one of its final episodes.
It is unclear when or where Rodriguez will appear but rumours have suggested that she will take part in the programme's flash-sideways sequence.
Maggie Grace, Harold Perrineau, Cynthia Watros and Rebecca Mader have also agreed to reprise their roles for the final season of Lost.