The normal advice is that you should try and shoot from the dominant eye side. However, this is sometimes easier said than done. Some individuals are very strongly handed by conditioning and changing sides can be a very strong trait to counter. The important thing to remember is that you must discern tangible benefit from changing from the usual hand to the dominant eye. If you don't perceive that it has done you any good after giving it a proper try with an objective assessment then revert to what you were doing originally.
For what it's worth, I coach the top blind rifle shooter in the UK. He competes against sighted shooters and has a PB of 550 ex 600. He is left handed but shoots right handed. Go figure!