Attribute-based　keyword　search　(ABKS),　as　an　important　type　of　searchable　encryption,　has　been　widely　utilized　for　secure　cloud　storage.　In　a　key-policy　attribute-based　temporary　keyword　search　(KP-ABTKS)　scheme,　a　private　key　is　associated　with　an　access　policy　that　controls　the　search　ability　of　the　user,　while　a　search　token　is　associated　with　a　time　interval　that　controls　the　search　time　of　the　cloud　server.　However,　after　a　careful　study,　we　uncover　that　the　only　existing　KP-ABTKS　construction　is　not　secure.　Through　two　carefully　designed　attacks,　we　first　show　that　the　cloud　server　can　search　the　ciphertext　in　any　time.　As　a　result,　their　scheme　cannot　support　temporary　keyword　search.　To　address　this　problem,　we　present　an　enhanced　KP-ABTKS　scheme　and　prove　that　it　is　selectively　secure　against　chosen-keyword　attack　in　the　random　oracle　model.　The　proposed　scheme　achieves　both　fine-grained　search　control　and　temporary　keyword　search　simultaneously.　In　addition,　the　performance　evaluation　indicates　that　our　scheme　is　practical.