We show that iflp(X),p ≠ 2, is finitely crudely representable in an Orlicz spaceLϕ (which does not containc0) then the Banach spaceX is isomorphic to a subspace ofLp. The same remains true forp = 2 whenLϕ is 2-concave or 2-convex, or ifX has local unconditional structure. We extend a theorem of Guerre and Levy to Orlicz function spaces.