<p>Exudate reversal to wounds significantly limits rapid and effective wound healing when a hydrophilic dressing is used. Inspired by Murray’s law of the structural characteristics of rhizomatous plants, we constructed an electrospinning-nanofibrous membrane to achieve unidirectional exudate transport. Polycaprolactone (PCL) was used to construct a graded pore size variation compliant with Murray’s law. Upon liquid wetting, the macro-pore layer (wound side) forms unidirectional capillary forces that propel fluid toward the micro-pore layer (outer side), exhibiting liquid transport efficiency compliant with Murray’s law. This outward capillary force, on the one hand, drives the continuous drainage of wound exudate, reducing the accumulation of inflammatory substances, and promoting wound healing; on the other hand, it prevents the backflow of inflammatory fluid within the outer hydrophilic material. Moreover, hydrophobic materials do not adhere to tissues, which helps reduce secondary damage during dressing replacement. In addition, curcumin (CUR) loading on the wound side enhances the membrane’s antioxidant and proangiogenic properties, supporting vascularization, collagen deposition, reducing inflammation, and accelerating healing. In conclusion, this biomimetic nanofiber dressing represents straightforward wound treatment approach with substantial clinical potential.</p> Graphical Abstract <p></p>