Textile balloon catheters, textile sleeves useful in balloon catheters, and methods of making balloon catheters are described. An example catheter includes an elongate shaft and a balloon movable between uninflated and inflated configurations, and a textile sleeve secured to the balloon. The textile sleeve has a plurality of warp threads and at least one weft thread extending circumferentially around the balloon. Circumferential loops in the portion of the textile sleeve that is secured to the body of the balloon are larger in diameter than circumferential loops in the portion of the textile sleeve that is secured to one or more of the proximal neck, distal neck, proximal cone and distal cone portions of the balloon.