He served on the frigate Oiseau and took part in patrol in the English Channel, before being transferred on the Nymphe.
Leissègues was promoted to Captain in early 1793 and put in command of a convoy bound for Windward Islands.
Leissègues later led a naval division to Northern Africa to reduce attacks by Barbary corsairs.
A British squadron led by Vice-Admiral John Thomas Duckworth intercepted the convoy, and destroyed it in the ensuing Battle of San Domingo.
He was tasked to provide for Corfu, where he stayed until the surrender of the island to the Allies, in 1814, upon orders of Louis XVIII.