National Economic Council Director Kevin Hassett, a top economic advisor to Trump, on Monday rebuked concerns about tariff-related inflation. The Fed, Hassett told CNBC, has been "very, very wrong" in its assessment of a potential resurgence of price increases.

The U.S. is expected on Tuesday to report that rising costs for imported goods lifted overall consumer prices in June, kicking off what might be several months at least of such increases and giving Federal Reserve officials highly awaited data on whether the Trump administration's tariffs are boosting inflation.

Consumer inflation likely accelerated in June, as the Trump administration's tariffs start to push up prices. The Labor Department's consumer-price index for last month is due at 8:30 a.m. ET. Year-over-year inflation likely picked up to 2.

The risk is that a hotter-than-expected June inflation report — one that Fed Chair Jerome Powell recently called among the most important for assessing the impact of tariffs — could slow the pace at which the central bank lowers interest rates. Importantly, that could also throw a wrench into the stock market’s record-setting rally.