Systems and methods can promote wound healing, including a wound dressing having a wound-facing surface and a second surface. The wound-facing surface can be configured to contact a wound of a patient. There can also be at least one conduit having an interior lumen operably connectable to the second surface of the wound dressing, a central window configured to allow air flow from the interior lumen of the conduit to the wound-facing surface of the wound dressing, and a flexible wrap operably connectable to the conduit.