Submitting webform without refreshing the page
Check out Webform AJAX module.

This module adds AJAX support to Webform (3.0 and above).
As a first step it focusses to simply add form AJAX paging and submit. Form submissions get ajaxified including prev/next pages. Especially for multipage forms, this leads to faster loading (less data transfer), better usability and finally smaller server load.

I think that may do what you are asking. Should then show up as options in form settings.

Also, be sure you are set to &quot;no redirect&quot;