We　propose　a　new　approach　for　quantum　state　transfer　(QST)　between　atomic　ensembles　separately　trapped　in　two　distant　cavities　connected　by　an　optical　fiber　via　adiabatic　passage.　The　three-level　L-type　atoms　in　each　ensemble　dispersively　interact　with　the　nonresonant　classical　field　and　cavity　mode.　By　choosing　appropriate　parameters　of　the　system,　the　effective　Hamiltonian　describes　two　atomic　ensembles　interacting　with　＂the　same　cavity　mode＂　and　has　a　dark　state.　Consequently,　the　QST　between　atomic　ensembles　can　be　implemented　via　adiabatic　passage.　Numerical　calculations　show　that　the　scheme　is　robust　against　moderate　fluctuations　of　the　experimental　parameters.　In　addition,　the　effect　of　decoherence　can　be　suppressed　effectively.　The　idea　provides　a　scalable　way　to　an　atomic-ensemble-based　quantum　network,　which　may　be　reachable　with　currently　available　technology.