We used the retinotopic connective field model to investigate how retinotopic organization in the cerebellum depends on cognitive state. Previous work found three retinotopic clusters in the cerebellum. These regions were found using a standard bar mapping stimulus with fixation task. Here, we show that with a more naturalistic condition, we find an extra cluster to be retinotopically organized. Furthermore, we show that the oculomotor vermis shows a gradient in visual field eccentricity, that was not revealed using the simple stimulus. Our results underline the importance of using a naturalistic condition in studying the retinotopic organization of the cerebellum.