They're going down nationally, but that's thanks to NY, NJ, CT, and MA having
all decreased dramatically in their deaths. In South Carolina - which is specifically what he's talking about since he's the governor of South Carolina - daily deaths have been increasing over the last month and are now almost as high as they were at their peak in early May.
The IMHE model, however, does project they are entering a plateau and will likely see a decrease start to happen in the next couple of weeks.