Straight out of Jepp ATC
11.22 STRATEGIC LATERAL OFFSET PROCEDURES (SLOP) IN THE NORTH ATLANTIC The Strategic Lateral Offset Procedure (SLOP) is now a standard operating procedure throughout the North Atlantic (NAT) Region. This procedure mitigates collision risk and wake turbulence encounters. Pilots conducting oceanic flights within the NAT Region with automatic offset pro- gramming capability are recommended to fly lateral offsets of either 1 or 2 NM right of center line. The introduction of very accurate aircraft navigation systems, along with sophisticated flight man- agement systems, has drastically reduced the number of risk bearing lateral navigation errors reported in NAT airspace. Paradoxically, the capability of aircraft to navigate to such a high level of accuracy has led to a situation where aircraft on the same track but at different levels, are increasingly likely to be in lateral overlap. This results in an increased risk of collision if an aircraft departs from its cleared level for any reason. SLOP reduces risk by distributing aircraft laterally. It is applicable within the New York Oceanic, Gander Oceanic, Shanwick Oceanic, Santa Maria Oceanic, Søndrestrøm and Reykjavik flight information regions, and within the Bodø Oceanic flight information region when flights are oper- ated more than 185km (100 NM) seaward from the shoreline.
Answer yes, and on a random route why would you? Random routes are not "organised" they are random!