An apparatus (100) for administering reduced pressure to a tissue site, the apparatus comprising a tube (135,235) having a plurality of lumens including at least one collection lumen (272) configured to receive fluid; and an absorptive material disposed in the at least one collection lumen configured store fluid.本文中所描述之說明性實施例係關於一種用於在一組織部位實施減壓之系統及方法。該裝置包括一減壓源。該減壓源產生一減壓。該裝置包括一具有複數個內腔之管。該複數個內腔包括至少一收集內腔。該減壓源經由該複數個內腔而對該組織部位施加該減壓以使得該至少一收集內腔接收來自該組織部位之流體。該至少一收集內腔儲存自該組織部位所接收之該流體。