Supply was at Plymouth on 20 January 1795 and so shared in the proceeds of the detention of the Dutch naval vessels, East Indiamen, and other merchant vessels that were in port on the outbreak of war between Britain and the Netherlands.

Supply then served as an armed vessel supporting the needs of the colony at Port Jackson.

She made at least one voyage to Norfolk Island transferring prisoners there from New South Wales.

Kent left Port Jackson on 21 October 1800 as commander of HMS Buffalo.

Buffalo left carrying Captain Hunter, by then the former governor of New South Wales.