* Euro inches higher after pushing close to more than 2-year lows
* Greek Prime Minister faces parliament vote, may bring elections
* U.S. data releases in focus in holiday-thinned market
By Lisa Twaronite
TOKYO, Dec 29 (Reuters) - The euro inched away from more than two-year lows but remained on tenterhooks as investors awaited a key vote in Greece later in the session, while the dollar treaded water in its final week of a strong 2014.
Activity is likely to be thin this week ahead of the New Year's holiday and as many investors have already closed out their positions for the year. Japanese markets will be shut from Dec. 31-Jan. 2 and reopen on Jan. 5.
Later on Monday, Greek Prime Minister Antonis Samaras faces a vote in parliament that will decide whether the country goes to snap elections that could bring the leftwing Syriza party to power and derail an international bailout.
Voting is due to start at midday (1000 GMT), with the result likely around an hour later.
"The possibility of a worrying outcome in Greece is a potentially risk-off factor, as is the possibility of an Ebola case in Japan," said Ayako Sera, senior market economist at Sumitomo Mitsui Trust Bank.
A man in his thirties who returned from Sierra Leone on Dec. 23 was suspected on contracting the disease, the Ministry of Health, Labour and Welfare said. Test results are expected by Tuesday morning. If confirmed, it would be the first case of the Ebola virus in Asia.
"Until there is confirmation, the Ebola case possibility is another factor weighing on risk in a very thin market," Sera said.
The dollar edged lower on the day against the euro, which added about 0.1 percent to $1.2190. The euro earlier fell as low as $1.2168, just a few ticks above last week's 28-month low of $1.2165 and on track for a yearly loss of more than 11 percent.
Jens Weidmann, a member of the European Central Bank's Governing Council and the president of Germany's Bundesbank, told a newspaper on Sunday that growth in Germany - Europe's biggest economy - might be better than expected next year, and that the situation in Europe is not as bad as many people think.
Weidmann is the most vocal opponent of quantitative easing, which some economists believe is the ECB's last resort to revive the euro zone economy.
While investors are betting the euro will fall against the dollar next year on speculation grows that the European Central Bank will ease monetary policy more aggressively, it may not depreciate at all against currencies of other major trading partners.
The final U.S. data reports of the year will also be in focus this week, including U.S. home prices on Tuesday and weekly jobless claims on Wednesday.