In the framework of the heavy quark effective theory, the leading order Isgur-Wise functions relevant to semileptonie decays of the orbitally P-wave excited Bs meson states Bs*, including the newly found narrow Bs1 (5830) andBs2(5840) states, into the (Ds1(2536), Ds2(2573)) doublet are calculated from QCD sum rules. With these universal form factors, the decay rates and branching ratios are also estimated.