An intravascular device and method of constructing an intravascular device. The device has a proximal portion which is stiffer than a distal portion. The device of the present invention may also be advanced through small vessels without the aid of a guidewire although a guidewire may be used when necessary. The device may be manufactured in a number of different ways and a preferred method is to use an expanded PTFE liner at the distal portion and an etched PTFE liner along the proximal portion. The device also has a number of different jacket sections, preferably at least four, with increasing durometer towards the proximal end and a braided section with varying pic along the length.