  Let B be a p-block of a finite group G with abelian defect group D such that
S\unlhd G, S'=S, G/Z(S)\le\Aut(S) and S/Z(S) is a sporadic simple group. We
show that B is isotypic to its Brauer correspondent in N_G(D) in the sense of
Brou\'e. This has been done by [Rouquier, 1994] for principal blocks and it
remains to deal with the non-principal blocks.
