Use the opportunity to drive the traffic and acquire new leads to your chatbot for free form website. Add an entry point to your chatbot in a form of web button directly where you need it - invite audience and get new leads from your website for free. Target this segment later on with a motivational notification & invite them back to your e-shop.
TIP #1: Never miss the oppotunity to get a new users from your website. See and anylize the touch-points onwhich you could reach out to your users with the possibility to sign up to your chatbot.