Third Party Certificate, 802.1X and Intermediate Certificate

Hi Guys,

Quick question:

Have 802.1x setup with Windows Radius Server - Installed a Godaddy certificate which came with an intermediate root certificate. 

I would like clients to validate the certificate to connect to the 802.1x, - 

Question: Do i need to rollout the intermediate root certificate to all windows devices - laptops to validate the godaddy certificate thats presented to the wireless clients? The trusted root on the intermediate root certificate is already installed on windows desktops.

THanks