Dorsetshire was part of a convoy that also included Exeter, Bombay Castle, Coutts, and Neptune, the Botany Bay ships Royal Admiral and Anne, and the whaler Seringapatam.

On the morning of 4 August they encountered French squadron consisting of the frigates Concorde, Médée, and Franchise.

Dorsetshire reached Rio de Janeiro on 12 August and arrived at Whampoa anchorage on 21 February 1801.

[2] She was part of a convoy of returning East Indiamen and other vessels, all under the command of Captain Nathaniel Dance.

The Royal Navy was unable to provide an escort and the captains of the EIC's China Fleet debated about setting out for home.

[2] As they were passing through the Straits of Malacca on 14 February, they encountered a French squadron under Rear-Admiral the Comte de Linois.

On 28 February, the British ships of the line HMS Sceptre and Albion joined the Fleet in the Strait and conducted them safely to St Helena.

[2] On 7 August 1805, HMS Blenheim, Captain Austin Bissell and Rear-Admiral Thomas Troubridge, was escorting a fleet of East Indiamen consisting of Castle Eden, Cumberland, Devonshire, Dorsetshire, Exeter, Hope, and Preston.

Dorsetshire was at the Cape of Good Hope on 31 May, reached Madras on 5 August, and arrived at Whampoa on 4 October.

[2] In September Lord Eldon, Dorsetshire, Scaleby Castle, Batavia, and Cornwall were at 14°8′N 28°11′W / 14.133°N 28.183°W / 14.133; -28.183 on their way from St Helena to England and under escort by HMS Loire.

[2] Captain Samuel Lyde sailed from The Downs on 15 March 1820, bound for St Helena and China.

[2] By one report Dorsetshire was sold as a storeship in 1821,[1] but on 16 January 1822 the EIC engaged her for one more voyage as a "dismantled Regular Ship" at a rate of £14 10s per ton (bm).