Using Homemade Lye Soap in Laundry Soap?

Can I use homemade lye soap instead of the Fels Naptha? I have been making lye soap for years, and I love it. I know most store bought bar soaps are not made with real lye. They use a mixture with potassium instead of sodium. Will this make a chemical reaction I should be aware of? Please let me know. Thank you.