GCLID conversion using Measurement Protocol

Hello,
I'm using Measurement Protocol to push transactions to analytics for all my orders when they are completed, but I have problems tracking the conversions from adwords.
It seems that gclid parameter needs to be sent to the transaction in order to track the conversion.
My solution would be to add a javascript code (in any page where ga script is added by ga module) which will store on session (or cookie?) the gclid when the user lands on your site after clicking an ad.
Than in the function commerce_google_analytics_save_ga_session_to_order to send the gclid from session.

Any thoughts?

I see this as an improvement for this module and I would create a patch.