In this paper we address the problem of state observation of linear time-varying (LTV) systems with delayed measurements, which has attracted the attention of many researchers-see [9] and references therein. We show that, the parameter estimationbased observer (PEBO) design proposed in [4,5] provides a very simple solution to the problem with reduced prior knowledge. Moreover, when PEBO is combined with the dynamic regressor extension and mixing (DREM) estimation technique [1,6], the estimated state converges in fixed-time with extremely weak excitation assumptions.