A method is described for estimating the coordinated universal time (UTC). The method involves receiving, by a satellite navigation receiver, signals broadcast by a global navigation satellite service (GNSS) satellite. The signals encode a first time of week (TOW) value. The method also involves estimating a first week number (WN) value and a first relationship between the UCT and a reference time of an onboard clock of the GNSS satellite (OFFSET) from time parameter values stored at a local memory. The method determines a first estimate of the UTC from the first TOW value, the first WN value, and the first OFFSET.