There are different opinions about how Hoshaanot is conducted on Shabbat. Some say it and some don't. See Nitei Gavriel Sukkot Chapter 73, Halacha 18.
The Chabad Custom (as brought in footnote 31) is not to say any Hoshaanot on Shabbat, and make it up the next day, but not to go around the Bimah for that one, only for the Hoshaanot of Sunday.
In a situation such as this year and next year (5776 and 5777), Hoshaanah Rabbah falls out on a Sunday. This means that Shabbat's Hoshaana will already be said on Sunday, during the Hoshaana Rabbah service.
If so, are the Hoshaanot for Shabbat repeated before the Hoshaana Rabbah service is started?