There is provided a brake assembly for a height-adjustable walker apparatus. The brake assembly includes a brake actuator, a wheel-engaging brake member and a brake cable assembly. The brake cable assembly includes a flexible, inner cable. The brake cable assembly includes a flexible, outer casing through which the inner cable extends and is moveable relative to. The inner cable has a first end coupled to the brake actuator and a second end coupled to the wheel-engaging brake member. The brake assembly includes a brake cable housing shaped to enclose a slack portion of the brake cable assembly.