Supplier Portal: would like a way to control what kind of 'invoice hold' a supplier can see in the

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For the payable Invoices, I have the possibility via the 'Managage Inoice Holds and Releases' task, to define Invoice holds that are specific to my organization.  However, from a Supplier perspective,  in the supplier portal, if one of the invoice is on hold,  he will see it via the the hyperlink in the invoice status all the invoice hold status, even the one that that more specific to my organization.   

I would like to know if it is possible, or if there is a way to determine the HOLD reason I want the supplier to see, because some of 'My HOLD'  are for internal use only while processing the invoice internally (ie approval, validation ect...).  Ideally,  when the hold is internally define  (ie: not seeded)  I would like to have a way to display a different reason....  because the supplier do not need to know the internal reason, just that it is under Review.