Anything higher would be taken as a setback to hopes for a Fed rate cut in June, which was put back on the menu last week when Fed chair Jerome Powell sounded relaxed on the inflation outlook.
Futures have a June easing implied at 75%, from 55% a week earlier, and have three to four cuts priced in for the year.
Powell will participate in a moderated discussion at a policy conference on Friday, while Fed governors Lisa Cook and Christopher Waller are also appearing this week.
Following the surprise move by the Swiss National Bank (SNB) last week, markets are almost fully priced for a first rate cut from the ECB in June and have 91 basis points of easing pencilled in for 2024.
Europe has its own inflation tests this week with consumer price data out from France, Italy, Belgium and Spain, ahead of the overall EU CPI report on April 3.
ECB President Lagarde is speaking later on Monday and may offer more guidance on whether the market has it right.