A conduit (302b, 302c) for treating a tissue site with reduced pressure may include a primary lumen (310) and at least one secondary lumen (318). A wall of the conduit may include a first wall material (314a) and a second wall material (314b). The first wall material may comprise a substantially non-absorbent material that is vapor impermeable and liquid impermeable. The second wall material may comprise an absorbent material that is vapor permeable and liquid impermeable. The second wall material may be positioned in fluid contact with the at least one secondary lumen. Other systems, apparatus, and methods are disclosed.