In the context of optimal transport methods, the subspace detour approach was\nrecently presented by Muzellec and Cuturi (2019). It consists in building a\nnearly optimal transport plan in the measures space from an optimal transport\nplan in a wisely chosen subspace, onto which the original measures are\nprojected. The contribution of this paper is to extend this category of methods\nto the Gromov-Wasserstein problem, which is a particular type of transport\ndistance involving the inner geometry of the compared distributions. After\nderiving the associated formalism and properties, we also discuss a specific\ncost for which we can show connections with the Knothe-Rosenblatt\nrearrangement. We finally give an experimental illustration on a shape matching\nproblem.\n