US daily numbers via @COVID19Tracking:

Newly reported deaths
Today: 644
Yesterday: 701
One week ago (6/25): 647 + 1854†

Newly reported cases
T: 53K
Y: 53K
6/25: 39K

Newly reported tests
T: 635K
Y: 621K
6/25: 638K

Positive test rate
T: 8.3%
Y: 8.5%
6/25: 6.1%
† Last Thursday was weird because New Jersey decided to start counting probable deaths in its tally. Nothing wrong with that but it led to a large 1-day increase from deaths that mostly occurred some time ago. Ignoring that, deaths are roughly steady week-over-week (644 v. 647).
The other metrics were bad, though. The second straight day above 50K new cases. And while there's a fair amount of testing, the positive test rate has climbed to 8% after having been around 4-5% at the low point several weeks ago.
Will all these new cases result in more deaths? Here's one view: The @youyanggu model estimates there are *actually* around 200K! new symptomatic COVID-19 infections per day in the US. We're only capturing around 1/4 of these through testing, he estimates.
https://covid19-projections.com/ 
He estimates the current IFR (infection fatality rate) is 0.2%-0.4%. This has actually fallen some from ~1.0% in the early stages of the epidemic. An IFR of 0.2%-0.4% on 200K new cases per day would lead to 400-800 deaths per day. By comparison, the current 7-day average is 527.
So if we held at "only" 200K cases per day, deaths would probably increase some, but not necessarily a ton. The problem is, his model expects infections to keep going up to 265K. So that would get you to 530-1,060. That to say is, an increase from where we are currently.
All of these parameters are educated guesses, of course. There's a ton of uncertainty. There may be scenarios where deaths don't increase that much. But it probably means that the increase in new cases has to stop, like, really soon.
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