In　this　paper,　we　propose　an　efficient　scheme　to　generate　three-atom　W　states　in　spatially　separated　cavities　connected　by　optical　fibers.　In　the　scheme,　we　combine　the　＂transitionless　quantum　driving＂　with　＂quantum　Zeno　dynamics＂　to　construct　a　shortcut　to　fast　generate　W　states.　Comparing　with　the　traditional　adiabatic　passage,　the　significant　advantage　is　that　the　interaction　time　required　for　the　creation　of　the　W　state　is　much　shorter,　which　is　very　important　in　view　of　decoherence.　Furthermore,　the　harmful　effects　of　various　decoherence　such　as　atomic　spontaneous　emission,　cavity　losses　and　the　fiber　photon　leakages　are　considered.　Numerical　simulations　illustrate　that　the　shortcut　scheme　is　much　faster　than　the　schemes　using　adiabatic　passage　and　robust　against　the　decoherence.　Moreover,　this　scheme　can　also　be　generalized　to　generation　of　N-atom　W　states.