Gaussian percolation can be seen as the generalization of standard Bernoulli percolation on Z^d . Instead of a random discrete configuration on a lattice, one considers a continuous Gaussian field f and studies the topological and geometric properties of the random excursion set. It is known that for a wide variety of fields f , there is a phase transition at some l_c . When l> l_c , the excursion set E_l(f) presents a unique unbounded component while if l< l_c there are only bounded components in E_l(f). In the supercritical regime, l> l_c , we study the geometry of the unbounded cluster. Inspired by the work of Peter Antal and Agoston Pisztora for the Bernoulli model, we introduce the chemical distance between two points x and y as the Euclidean length of the shortest path connecting these points and staying in E_l(f ). In this paper, we show that when l>-l_c then with high probability, the chemical distance between two points has a behavior close to the Euclidean distance between those two points.