Embodiments herein relate to a communication terminal (10) for handling communication, which communication terminal (10) is being served by a radio access node (12, 13) in a first cell (11) on a carrier of a licensed frequency spectrum and cross-carrier scheduled in a second cell (14) on a carrier of an unlicensed frequency spectrum by the radio access node (12, 13) via the first cell (11). The communication terminal receives an indication that data may be scheduled for the communication terminal (10) on a data channel in the second cell (14). The communication terminal attempts to detect presence of the data channel intended for the communication terminal (10). Then, in case the communication terminal (10) detects presence of the data channel intended for the communication terminal (10), the communication terminal (10) decodes the data channel. In case the communication terminal (10) does not detect presence of the data channel intended for the communication terminal (10), the communication terminal (10) indicates a non-detection of the data channel to the radio access node (12, 13).