You aren’t allowed to switch into the right lane though if you’re planning on switching right back into the left lane.
I’m not sure where you’re located but here is the law for New York State:
(a) The driver of a vehicle may overtake and pass upon the right of another vehicle only under the following conditions:
1. When the vehicle overtaken is making or about to make a left turn;
2. Upon a street or highway with unobstructed pavement not occupied by parked vehicles of sufficient width for two or more lines of moving vehicles in each direction;
3. Upon a one-way street, or upon any roadway on which traffic is restricted to one direction of movement, where the roadway is free from obstructions and of sufficient width for two or more lines of moving vehicles.
(b) The driver of a vehicle may overtake and pass another vehicle upon the right only under conditions permitting such movement in safety. Such movement shall not be made by driving off the pavement or main-traveled portion of the roadway, except as permitted by section eleven hundred thirty-one of this article.
Bolding added by me.