We report 4kW Single-Mode narrow-linewidth Ytterbium fiber amplifier in all-fiber format and modular package with diffraction-limited beam divergence for the amplification of narrow linewidth seed signals. Measured M 2 values of output beam throughout full power range are ≤ 1.1. The fiber amplifier has been pumped by laser diodes directly and has 3m output delivery cable terminated with IPG connector. The amplifier module has ≥ 38% electro-optical efficiency. The fiber amplifier operates up to 4kW with depolarized seed signals without onset of SBS and/or MI. We observed the broadening of amplified signal at high powers when depolarizing of the narrow-linewidth seed signal was produced with a classic Lyot scheme on PM Panda fibers. This broadening resulted in dropping of in-band power below 99% at output powers >3.3kW. Negligible broadening at FWHM level of amplified signal have been observed with other type of fiber depolarizer based on single PM Panda fiber scheme. The Yb fiber amplifier with this type of depolarizing of seed signal operates up to 4kW with in-band power ≥ 99% at 60GHz linewidth of the seed source.