The policymakers who favoured a rate increase at the meeting "remarked that price pressures appeared broad-based and judged that the (policy-setting). Committee should adopt a more restrictive policy stance to meet its commitment to achieving its price-stability and maximum employment goals on a sustained basis," the minutes of the July 28-29 meeting said.
Failure to do so, they argued, would risk "a steeper and potentially more costly sequence of tightening moves at a later stage".
The Fed voted at that meeting to hold its benchmark interest rate in the current 3.50 per cent-3.75 per cent range, but with three policymakers dissenting in favour of a quarter-percentage point hike.
A larger group of participants "assessed that policy tightening would likely be necessary if inflation did not decline," the minutes said.
The minutes, covering Fed Chairman Kevin Warsh's second meeting as head of the central bank, showed central bankers already delving into some of the broader issues he wants to pursue as part of a possible overhaul of how the Fed operates.
Participants saw an upcoming task force review of how the Fed manages its balance sheet as an "opportunity for a comprehensive discussion".
However, many participants at the meeting "reaffirmed that the primary means of adjusting the stance of monetary policy should be through changes in the target range for the federal funds rate," not manipulating the Fed's asset holdings.
Warsh also asked for input from the committee on whether it would be better for the Fed to hold only six meetings a year rather than the current eight, allowing for a full two months of data to accumulate each time.
No decisions were made regarding this issue, the minutes said, and the 2026 schedule of meetings would not be altered.
The minutes drew little reaction in financial markets.
An announcement earlier on Wednesday that the Treasury would double its buyback of longer-term US government debt had eased upward pressure on yields and helped lift stocks after Tuesday's rout.
Rate-futures markets continued to price better-than-even odds that the Fed will begin raising rates at its October 27-28 meeting and, failing that, a very high probability of a rate hike at its last meeting of the year in December.
There was no mention in the minutes of support for a rate cut, a sign of how the Fed's policy debate has shifted over the course of a year that began with an expectation that the central bank would be able to lower borrowing costs this year as inflation slowed.
Price pressures, however, have continued to build, particularly after the Trump administration joined Israel in a war with Iran.
Shipments of oil and gas through the strategic Strait of Hormuz continue to be constrained almost six months after the start of the conflict.
The Fed is expected to hold its policy rate steady again at its September 15-16 meeting after recent data showed inflation easing slightly and firms unexpectedly shedding jobs in July.
The data has left officials still divided over whether rate hikes will be needed to slow inflation further, but also more cautious about the strength of the labour market and the risks to their goal of maintaining full employment.
Warsh has been reluctant to talk about the path of monetary policy on his watch.
