A fabric having a honeycomb weave pattern is provided for use with medical implants. The fabric may be heat treated to increase a thickness and texture of the fabric. The fabric may be compliant and compressible for providing cushioning within a patient's body. For example, the fabric may be applied to a prosthetic valve to cushion a portion of the prosthetic heart valve. The fabric may also be textured to provide enhanced friction between the prosthetic heart valve and the surrounding native tissue. Enhanced friction may be achieved by weave patterns or by the inclusion of protrusions or barbs in the fabric.