You need to fallback to a supported image format.
Below's example is using the <picture> element and the <source> elements with an img element fallback. The browser will try loading the assets inside the <picture> element from top to bottom until all the "conditions were satisfied" (optional sizes attribute and complex srcset which aren't in the below code) and the content format is supported.
<picture>
<source srcset="image.webp" type="image/webp">
<source srcset="image.jpg" type="image/jpeg">
<img src="image.jpg" alt="">
</picture>
If the images are used in CSS:
You can use Modernizr's .no-webp class name to target non-support browsers and serve a non-webp format instead:
.no-webp .elementWithBackgroundImage {
background-image: url("image.jpg");
}
This article has good information you can use