Found this on Canyon website, which sort of confirms my assumption:
Before the gravel bike boom, CX bikes were the do-it-all bike and perfectly capable of handling gravel riding. However, you may need to make minor adjustments like moving your seat height and maybe raising or swapping the stem for a more upright position (just keep in mind that the bike’s frame geometry will set limits).
Given cyclocross tires are 33 - 35mm wide, if you’re not confident on slimmer tires, a bike that can fit wider tires, like a gravel bike, might be more suitable. You’ll also need to change your tires if your regular CX tires are designed for mud.