Slope instability should not be treated lightly. This can be a very serious problem that requires continuous maintenance for the life of the pipeline. It can easily result in high stress, deformation and line breakage, or at the least ... reduced operating pressure! Wrapping is likely to be of no use whatsoever, unless the soils are very poor, which leads to the question of why that route. Far better to avoid known areas of unstable slopes at all cost. That can be determined by a local geohazard analysis performed before final routing is decided.
A geohazard monitoring program might be useful after the fact to try to prevent further damage to the pipe or slope, if slope instability became a problem after the fact or to monitor stresses (such as at an unavoidable active fault crossing), but IMO it should not be used as an initial risk reduction method.
I would first try to eliminate the source of the slope instability, cut the slope down, catch and divert all upslope water, drain unstable soil layers with geotextile wrapped perforated drain pipes, excavate unstable soils, install gabion retaining walls, cribbing, trench breakers and the like. You might even make some kind of above ground crossing with sliding supports such as on the Alaska Pipeline did over the Denali Fault. You can see that extra costs quickly become insurmountable making it far more economical to avoid such areas in the first place.
If you absolutely cannot avoid an unstable slope and still want to take the risk of crossing it, increasing pipe flexibility is probably the best way to approach the problem. Add dog legs before and after (and within) the slope and possibly mechanical anchors to try to ensure the pipe will act like you think it will. You might also want to gently slope the sides of the trench and fill the trench to the brim with sand, so an easy separation of pipe from any sliding motion of the earth is possible. In extreme cases, very active faults and seismic zones, a break-away fitting and shut down valves on each side might reduce risk of even more severe damage after a semi-controlled rupture took place.
Best advice is to avoid it any which way you can.