Engel condition on enveloping algebras of Lie superalgebras

Let L   be a Lie superalgebra over a field of characteristic p≠2p≠2 with enveloping algebra U(L)U(L) or let L   be a restricted Lie superalgebra over a field of characteristic p>2p>2 with restricted enveloping algebra u(L)u(L). In this note, we establish when u(L)u(L) or U(L)U(L) is bounded Lie Engel.