A user equipment (UE) and method of providing local fine timing assistance are generally described. Prior to storing a Global Navigation Satellite System (GNSS)-cellular time relationship in the UE and, when the network is unable to provide fine timing assistance, a GNSS receiver transmits a request to a modem. The modem, in response, periodically or as scheduled transmits a pulse and pulse timing information (PTI) including a pulse transmission time (PTT) based on cellular network time. The receiver determines a GNSS-cellular time relationship and obtains a GNSS satellite positioning signal and GNSS fix using the PTI. For pulses after the initial pulse, the PTI includes a time difference between the PTT and a PTT of the preceding pulse. The receiver determines a time difference between the PTT and GNSS fix. The modem is configured to terminate pulse transmission in response to receiving a termination request from the receiver.