Pour decorator's varnish into a paint pan. Place a small paint roller into the varnish. Rub the roller on the textured area of the pan to remove the excess paint. If you'd rather apply the varnish with a paint brush, dip the brush into the varnish can. Rub the bristles on the ledge of the can to remove any excess.
Roll the roller back and forth around the sink to apply the varnish. Dip the roller back into the varnish when it appears dry to add more. If using a paint brush, move the brush back and forth on the wallpaper to apply the varnish. Add more varnish to the brush as needed.
Apply another coat of varnish once the first is dry, which usually takes about 45 minutes to an hour, depending on the brand. Use a second coat if you feel the wallpaper around the sink is constantly wet and needs extra protection.