"The FOMC can only achieve its congressionally mandated price and employment goals by being extraordinarily patient in reducing the level of monetary accommodation," Kocherlakota said. "Under my current outlook, I continue to believe that it would be a mistake to raise the target range for the fed funds rate in 2015."
On Monday New York Fed President William Dudley suggested rate increases will be "relatively shallow," while Fed Bank of Atlanta President Dennis Lockhart told Bloomberg he favoured pushing out the central bank's first rate rise beyond the next two meetings, saying "I would probably be biased toward the July or September dates as opposed to June."
In afternoon trading on Wall Street, the Dow Jones Industrial Average rose 0.52 per cent, the Standard & Poor's 500 Index added 0.27 per cent, while the Nasdaq Composite Index gained 0.43 per cent.
Gains in shares of Chevron and those of Johnson & Johnson, last up 1.9 per cent and 1.7 per cent respectively, led the Dow higher.
"The Fed would rather err on the side of caution," Jasper Lawler, a market analyst at CMC Markets in London, told Bloomberg. "They're dovish by nature. They don't want to make a mistake of lifting off too soon."
Shares of FedEx rose, last up 3 per cent, after the company agreed to buy TNT Express of the Netherlands for US$4.8 billion, betting it will find approval from regulators who blocked a UPS bid to buy TNT in 2013. TNT shares rallied 28.1 per cent.
"When you have money in the bank and you either have to return it to shareholders or do something with it ... the next thing is you buy a competitor," Kim Forrest, senior equity research analyst at Fort Pitt Capital Group in Pittsburgh, told Reuters. "You put that cash to work."
Shares of Twitter climbed, last up 3.4 per cent, amid a Barron's report about rumours the company has hired advisers to fend off a takeover bid.
In Europe, the Stoxx 600 Index ended the session with a 1.6 per cent increase from the previous close.
Germany's DAX gained 1.3 per cent, France's CAC 40 Index advanced 1.5 per cent, while the UK's FTSE 100 Index climbed 1.9 per cent.