We use the heavy quark effective theory to investigate the form factors that describe the semileptonic decays of a B meson into excited daughter mesons. For an excited daughter meson with charm, a single form factor is needed at leading order, while five form factors and two dimensionful constants are needed to order 1/m(c) in the heavy quark expansion. For non-charmed final states, a total of four form factors are needed at leading order. For the process B-->D(*)X l nu, four form factors are also needed at leading order.