The device and methods described herein relate to a seeping flow catheter. The seeping flow catheter includes a porous material. The inner face of the porous material defines the lumen of the catheter. The porous material is configured such that fluid can flow along the length of the catheter, between the inner face and outer face of the porous material. As the fluid flows through the porous material, the fluid can seep into the lumen of the catheter through the inner face or out of the catheter through the outer face of the porous material. Portions of the inner or outer face can include a lining that substantial reduces the perfusion of the fluid through the lined areas.