First time using a roller to press. Having issues.

I got myself a Vevor cold press laminator to try making prints. While testing it out last night I started seeing that the image is kind of scooting during the process. It’s more evident on the right side of my image.

I’m using the pink speedball Lino and just testing on printer paper for now. Even when I tape my paper in place on one side I get this kind of thing. Also got the same result with more ink or less ink.