We present the preliminary result of a search for the decay B(sup (+-)) (yields) a(sub 1)(sup (+-)) K*(sup 0). The data, collected with the BABAR detector at the Stanford Linear Accelerator Center, represent 465 million B(bar B) pairs produced in e(sup +)e(sup -) annihilation at the (Upsilon)(4S) energy. The result for the branching fraction is: (Beta)(B(sup +) (yields) a(sub 1)(sup +)K*(sup 0)) x (Beta)(a(sub 1)(sup +) (yields) (pi)(sup +)(pi)(sup -)(pi)(sup +)) = (0.7(sub -0.4-0.7)(sup +0.5+0.7)) x 10(sup -6), corresponding to an upper limit at 90% confidence level of 1.6 x 10(sup -6). The first error quoted is statistical, the second systematic.