A textile sleeve for routing and protecting an elongate member and method of construction thereof are provided. The sleeve has a wall with opposite edges extending lengthwise between opposite ends. The edges are configured to be wrapped about a central longitudinal axis to bound the elongate member within an enclosed cavity. The wall is formed of interlaced heat-resistant yarn with at least one hook-type fastener member along one of the edges and at least one loop-type fastener member along the other of the edges. The hook-type fastener member and the loop-type fastener member are configured to attach with one another to maintain the opposite edges in releasably fixed, overlapping relation with one another.