* U.S. dollar on track for best month since November

* Imminent U.S. rate rises still on investors' minds

* European shares retreat but stay close to 1-month high

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By Sudip Kar-Gupta

LONDON, May 27 (Reuters) - The U.S dollar rose on Friday while world stock markets were steady, as investors braced for the likelihood of a hike in U.S. interest rates in coming months.

The MSCI All-Country World equity index edged higher by 0.1 percent.

The pan-European FTSEurofirst 300 index of leading European shares slipped 0.1 percent but remained in touching distance of a one-month reached earlier this week..

"Markets are doing remarkably well given that a U.S. interest rate rise might happen as early as next month," said Lex Van Dam, hedge fund manager at Hampstead Capital.

The dollar index rose 0.1 percent and was on track for its best monthly performance since last November, after a string of U.S Federal Reserve officials raised expectations for a hike in interest rates as early as June, given signs of strength in the world's biggest economy.

Investors were also looking out for further clues on when U.S. rates might go up from a speech due later in the day from Federal Reseve head Janet Yellen.

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"I'm not sure if U.S. interest rates will go up in June, but July is quite likely," said Clairinvest fund manager Ion-Marc Valahu, who added that he had recently cancelled some earlier "short" positions that were betting on the dollar losing ground.

A stronger U.S. dollar can often lift European stocks, since a weaker euro can help European companies to export their goods overseas.

However, some traders said stock markets were unlikely to make much headway in the coming month, given the uncertainty over issues such as future U.S. rate rises and Britain's June vote on its membership of the European Union.

"With the headwinds of a possible interest rate hike from the Federal Reserve, and the EU referendum in June, there might not be a huge amount of new money coming into the market," said Manoj Ladwa, head of trading at TJM Partners. (Additional reporting by Anirban Nag and Alistair Smout in London, and Shinichi Saoshiro in Tokyo; editing by Ralph Boulton)