Hi Bobbi, welcome to Vienna topic
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I don't know about the medical but he will have to do it eventually. One cannot land without valid medical. He supposed to do it prior sending the application to Mississauga.
At DMP after medical exam they give you copy of your medical file and you join that form with the rest of your application and send it to Mississauga.
Now you can't do anything until you get approved. When Mississauga send your file to Vienna, visa office will contact your husband and send him a letter of confirmation that they received your file. At that point visa office will probably ask him to do his medical or it will be at the end of process. In that letter he will have his client ID and you will be able to refer to that number in your email inquiries.
Good luck!