"Some ... members anticipated that economic conditions would soon warrant taking another step in removing policy accommodation," the Fed said in the minutes.
Several Fed policymakers, however, said a slowdown in the future pace of hiring would argue against a near-term hike, and members of the FOMC said they wanted to "leave their policy options open."
The U.S. dollar strengthened after the release of the minutes, while U.S. stocks and prices of shorter-dated U.S. Treasuries pared losses. Fed funds futures showed little change in bets on when the Fed will lift rates, with investors still expecting the next rate increase to likely come in December.
"The minutes contained more concrete indications that a consensus to raise rates is slowly building," said Brian Dolan, head market strategist at Drivewealth in New Jersey.
The Fed raised rates in December for the first time in nearly a decade, but it has since kept rates unchanged amid financial market volatility, a global growth slowdown and tame U.S. inflation.
Investors had raised bets earlier this week for a rate increase this year after two Fed policymakers said the economic stars now appear to be aligning despite weak U.S. growth in the first half of 2016.
Seventeen Fed policymakers participated in the July meeting, 10 of whom had a vote. Of the broader group of policymakers, several expressed concern that low interest rates could hurt financial stability.
The minutes came a day after New York Fed President William Dudley said "it`s possible" to raise rates at the Sept. 20-21 policy meeting and Atlanta Fed President Dennis Lockhart said a hike next month is in play.
The Fed also has policy meetings scheduled in early November and mid-December. Economists see the December meeting as the most likely time for a rate increase since it follows the U.S. presidential election, according to a Reuters poll last week.
Investors will now focus on next week`s annual meeting of central bankers in Jackson Hole, Wyoming, a venue the Fed often uses to telegraph policy plans.
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