Does the headlessui modal have the '.mui-fixed' class like mui does?

[enjidev]

The headlessui modal's behavior is similar to the mui modal, where it adds padding to the document element. However, mui has a class called .mui-fixed to help the fixed element position persist.

Taken from the mui FAQ:

Scrolling is blocked as soon as a modal is opened. This prevents interacting with the background when the modal should be the only interactive content. However, removing the scrollbar can make your fixed positioned elements move. In this situation, you can apply a global .mui-fixed class name to tell MUI to handle those elements.

Does the headless UI have that too? Or are there workarounds?