You can't. But you can do the following:
  - Upload it somewhere else (Dropbox, box, google drive, wetransfer) and provide the link
  - You can also upload it on the UnmetHours slack channel and provide the link
  - You can trick the website by changing the file extension to *.jpg to be able to upload it, and provide the link to users specifying they need to change the extension back to *.osm.
  - If not too big you can paste the text content of the .osm file to a website like Pastebin
  
 I'd avoid 3. personally as I find it somewhat confusing and not user friendly at all.