Save Date Field Code always shows Current Date - 12:00 pm in Word Online

I have a user that uses an embedded field code for Save Date on the front page of all their documents.  I've just convinced them to start saving their documents in their SharePoint Team site and use Office Online Apps.

They just brought to my attention that when viewing the document in Word Online - instead of showing the correct Save Date - it always puts the current date and 12:00 pm.  Can anyone tell me is there a fix for this?  Or does Word Online just not able to handle field codes?