Gather all ingredients before starting the recipe.
Pre heat oven to 325°F
Place one half of the 1/2 bunch fresh dill sprigs on the bottom of an oven proof glass or oven proof dish, top with 1 lb salmon fillet.
Add 5-6 whole pepper corn, 1/2 cup chicken stock, 1/2 cup dry white wine or champagne or sparkling dry white wine. Sprinkle 1 tbsp dried tarragon over the salmon and cover the salmon with the remaining dill.
Cover fillet with parchment paper, place on a medium hot burner and bring the stock to a simmer. Place the oven proof dish in a 325°F pre heated oven and bake for 20 minutes or until the salmon flakes easily with a fork.
Remove salmon to a platter and drain the poaching liquid into a sauce pan to use to make champagne cream sauce.