Hobbes had wrongly injected into the savage man's concern for self-preservation the need to satisfy a multitude of passions which are the product of society and which have made laws necessary.
Gist of Idea
Hobbes attributed to savages the passions which arise in a law-bound society
Jean-Jacques Rousseau (Discourse on the Origin of Inequality , Part I)
Hobbes's famous remark concerns a state of war, which is quite a sophisticated state of conflict between well formed social groups. Rousseau's savage is fairly solitary, so won't be involved in war.
Rousseau,Jean-Jacques: 'The Basic Political Writings', ed/tr. Cress,Donald A. [Hackett 1987], p.53