U.S. Dollar Index little changed Risk-sensitive Australian dollar rises Lira bounces after historic drop NEW YORK, Dec 21 (Reuters) - The U.S. dollar steadied on Tuesday, recovering after a bout of profit-taking in the previous session, but its gains were held in check as improving risk sentiment boosted riskier currencies such as the Australian dollar and the British pound. The U.S. Dollar Currency Index was near flat on the day at 96.53 after slipping as low as 96.336 earlier in the session. The index, which is up about 7% for the year, fell 0.1% on Monday as traders sold the greenback to book profits in the final days of the year. Risk appetite took a blow on Monday after U.S. Senator Joe Manchin, a conservative Democrat who is key to President Joe Biden"s hopes of passing a $1.75 trillion domestic investment bill - known as Build Back Better - said on Sunday he would not support the package, prompting a sell-off in global markets. read more Surging Omicron coronavirus cases also pushed investors to look for safe havens such as the Japanese yen and the Swiss franc. < CHF=> Stocks rebounded and bond yields rose on Tuesday as investors looked past the recent setbacks. "We expect broader range trading will extend over the holiday period," Shaun Osborne, chief FX strategist at Scotiabank, said in a note. The risk-sensitive Australian dollar bounced on Tuesday, snapping a two-day weakening streak to trade up 0.37%. The rebound in global risk appetite also pushed the British pound up against the dollar and euro, even as British Prime Minister Boris Johnson cautioned that further lockdown measures may be needed to tackle the spread of the virus. read more Despite the greenback"s lackluster showing this week, the dollar index is still close to the 16-month high of 96.938 hit in late November. Investors remain bullish on the outlook for the greenback, with latest positioning data near the highest levels in more than two years. read more The Federal Reserve"s hawkish statement last week that it would accelerate the unwind of its asset purchases, paving the way for three quarter-percentage-point rate increases in 2022 - is expected to keep the dollar well-supported. "We continue to anticipate the USD and CAD advancing against the majors in the new year as investors bank on tighter monetary policy being introduced by the Fed and Bank of Canada respectively," Osborne said. The slack in Canada"s economy caused by the coronavirus pandemic has substantially diminished, the governor of the Bank of Canada said on Wednesday, a key sign the central bank is set to begin hiking rates soon. read more The loonie was up about 0.1% on Tuesday. In other trading, Turkey"s lira was up about 4% against the U.S. dollar, extending its historic recovery from record lows after President Tayyip Erdogan unveiled a plan he said would guarantee local currency deposits against market fluctuations. read more Bitcoin gained 4% to $48,700 after trending lower for the past few weeks. Reporting by Saqib Iqbal Ahmed; Editing by Dan Grebler