Wavelength tunable optical coherent burst-mode receivers (BMR) can offer flexibility and sub-wavelength granularity for dynamic WDM networks. A new BMR design with dispersion equalizer plus frequency offset estimator is proposed for simultaneous dispersion compensation and frequency offset estimation. Its good performance is verified by simulations. A training sequence as short as 4 K symbols, corresponding to an initialization time of 160 ns, is found to be enough to support 200 km transmission distance plus over ± 5 GHz frequency offset. The new BMR design can also work under the case when transient frequency offset from wavelength tuning exists in the system.