A wireless terminal (30) capable of operating in a discontinuous mode comprising and method for operating such wireless terminal (30) facilitate measurements pertaining to position of the wireless terminal (30). The method includes receiving a message from the radio access network (28). The measurement request message is configured to indicate that measurements are to be performed by the wireless terminal on downlink signals transmitted by the base station or by the base station on downlink signals transmitted by the base station. The method further comprises, as a result of or after receiving the message, changing operation of the wireless terminal (30) from a discontinuous mode to a modified mode to facilitate performance of the measurements. Relative to the discontinuous mode at least one of following are shortened or eliminated in the modified mode: (i) the non-reception periods, and (ii) the non-transmission periods. “Changing from a discontinuous mode . . . to a modified mode” includes one or more of: (1) changing mode of the wireless terminal (e.g., changing from a discontinuous mode [such as discontinuous reception (DRX) or discontinuous transmission (DTX)] to a continuous transmission mode); (2) changing from the discontinuous mode (a first discontinuous mode) to a modified discontinuous mode (a second discontinuous mode).