Let G be the Lie group SOe(4, 1), with maximal compact subgroup K = S(O(4) × O(1))e≅ SO(4). Let 𝔤 =𝔰𝔬(5, ℂ) be the complexification of the Lie algebra 𝔤0 = 𝔰𝔬(4, 1) of G, and let U(𝔤) be the universal enveloping algebra of 𝔤. Let 𝔤 = 𝔨 ⊕ 𝔭 be the Cartan decomposition of 𝔤, and C(𝔭) the Clifford algebra of 𝔭 with respect to the trace form B(X, Y) = tr(XY) on 𝔭. In this paper we give explicit generators of the algebra (U(𝔤) ⊗ C(𝔭)^K.