The minutes of the January 31-February 1 discussion, at which the central bank voted to keep rates unchanged, also showed the depth of uncertainty at the Fed because of a lack of clarity on the new Trump administration's economic program.
"Many participants expressed the view that it might be appropriate to raise the federal funds rate again fairly soon if incoming information on the labour market and inflation was in line with or stronger than their current expectations," the Federal Reserve said in the minutes.
Last week, Fed Chair Janet Yellen said waiting too long to raise rates again would be "unwise" and gave a strong indication that the central bank remains on track to consider raising rates again by the summer.
Fed Governor Jerome Powell, one of the voting members at the central bank's last policy meeting, on Wednesday said a rate hike would be on the table at the Fed's next meeting in March.
Seventeen policymakers deliberate at each meeting on whether to change the interest rate, although only 10 of them have a vote.
Prices for US stocks fell marginally following the publication of the minutes and yields on US government debt also dropped. Expectations on when the Fed will next raise rates were little changed, with investors predicting a move in May at the earliest, according to fed fund futures data compiled by the CME Group.
Among voting members in general there was much less urgency to raise rates with many seeing only a "modest risk" that inflation would increase significantly and that the Fed would "likely have ample time" to respond if price pressures emerged.
In December, the Fed forecast it would raise rates three times in 2017 and so far robust readings on the economy have bolstered the confidence of many policymakers.
Still in the dark on Trump policies
Set against that is the continued uncertainty over President Donald Trump's economic plans, with Fed policymakers awaiting details in order to assess how the policies would affect the economic outlook.
"They don't see a smoking gun for them to speed up" on rate increases, said Robert Tipp, chief investment strategist at PGIM Fixed Income in Newark, New Jersey. "There's way too much uncertainty about the content and timing on fiscal stimulus."
According to the minutes, "participants again emphasized their considerable uncertainty about the prospect for changes in fiscal and other government policies as well as about the timing and magnitude of the net effects of such changes".
Mr Trump has announced plans to roll back financial regulations and implement tax cuts, while possible new taxes on imports and increased infrastructure spending could boost inflation.
Fed policymakers noted both upside and downside risks to the economy from such policies and most "thought some time would likely be required for the outlook to become clearer".
The Fed has struggled to raise rates since the Great Recession after they were cut to near zero. A rate increase at its meeting last December was only the second hike since 2006.
The Fed's rate-setting committee next meets on March 14-15.