A wrappable sleeve for routing and protecting an elongate member, against exposure to high temperature, abrasion, fluid ingress, and contamination, has a multilayered wall extending widthwise between opposite edges and extending lengthwise along a longitudinal axis between opposite ends. The wall includes a textile outer layer, a textile inner layer, and an intermediate layer sandwiched between the outer layer and the inner layer. The intermediate layer includes a textile intermediate layer facing the textile inner layer and a silicone-based layer facing the textile outer layer.