Espérance was built as Durance and served in de Grasse's squadron as a troopship. On 18 December 1782, she departed Toulon with the frigates Précieuse and Prosélyte, and the corvette, in a convoy bound for the Caribbean, that also included the fluyts Gracieuse and Rhône.[1]
A decade later, on 29 September 1791, Espérance under Captain Huon de Kermadec, and sailed from Brest to New Caledonia. They were on a mission under the command of Admiral d'Entrecasteaux in search of the explorer Lapérouse. The mission was unsuccessful: it was not until 1826 that the mystery of Laperouse's disappearance was solved.
On 28 October 1793, Espérance was captured by the Dutch at Surabaya, only to be returned to France in February 1794. She was sold to Holland in September and sold for scrap two months later.