Yes, but as your population increases so does your virus rate. The new daily cases for the US is fluctuating between 50,000 and 70,000 daily. This is also attributed to increased testing.
Also, let’s look at this, Italy’s small population was exposed before the US and probably reached some type of immunity faster. Which would lower their daily case rate over time. Especially if the 3 months worth of immunity or more is a for sure thing.
It would take the US longer to achieve that level of immunity due to the increased size of the population but, soon it should start trending in our favor.