From May, its Salt & Vinegar, Sour Cream & Chive and BBQ variants will move to the new packaging.
The new outer bag can be recycled at kerbside and is set to lower the greenhouse gas emissions associated with each pack by 52%, according to PepsiCo.
Its introduction would reduce the use of virgin plastic by 65 tonnes per year, it added.
The move follows the introduction of a paper outer for Walkers Baked in 2023.