<p>In this paper, we continue our investigation of gravitational interactions for massive higher spins, extending our recent work on massive spin 5/2 to massive spin 3, including its massless and partially massless limits. To construct the minimal gravitational interactions (i.e. vertexes containing both standard minimal interactions and non-minimal ones, which are necessary for any <i>s</i> ≥ 5/2), we use a gauge invariant frame-like formalism. Similarly to the spin 5/2 case, there is a special point <i>m</i>² = 6Λ, which corresponds to a boundary of the unitary allowed region in <i>dS</i>₄, where minimal interactions disappear, leaving only the non-minimal ones.</p>