An infusion sleeve has a flexible tube enclosing a lumen. The tube has a plurality of wall segments, each wall segment located between the lumen and an exterior surface of the tube and extending parallel to a central axis of the tube. The plurality of wall segments includes at least two thick wall segments and at least two thin wall segments alternately arranged such that each thick wall segment is adjacent to two thin wall segments, and each thin wall segment is adjacent to two thick wall segments.
