* Dollar index edges towards 2019 peak

* Pound loses 0.4 pct, under pressure before Brexit vote

* Graphic: World FX rates in 2019 http://tmsnrt.rs/2egbfVh

By Daniel Leussink

TOKYO, March 11 (Reuters) - The dollar edged up early on Monday, hovering close to a near three-month high as investors took cover in the currency amid global growth concerns, while sterling extended its decline on an uncertain outlook over Britain's exit from the European Union.

The dollar index, which measures the greenback against a basket of six major rivals, gained 0.1 percent to 97.426 in early Asian trading.

The index was just shy of its recent peak of 97.710 hit last Thursday, its highest since Dec. 14 last year. It is up 1.3 percent so far this year.

The euro was a shade lower at $1.1225. The single currency had fallen to its weakest level since late June 2017 on Thursday, hurt by dovish signals from the European Central Bank (ECB).

"After the ECB's big downgrade of the growth outlook for the euro area, together with the weaker-than-expected Chinese export and import data, the worry over the global economy is re-surging again," said Masafumi Yamamoto, chief currency strategist at Mizuho Securities.

"That's pushing down the euro and other currencies," he said. "The U.S. is not particularly strong, but other areas are weak. That's why the dollar is relatively strong."

Data on Friday showed U.S. employment growth almost stalled in February, with the world's top economy creating a measly 20,000 jobs, far fewer than expected by analysts.

But traders found some hope in figures showing the U.S. employment rate slipped back below 4 percent and average hourly earnings accelerated by 0.4 percent, helping to reduce the greenback's losses during the previous session.

On Monday, the British pound gave up 0.4 percent to $1.2968 after briefly dipping to a near three-week low on nervousness over Brexit. The currency had already fallen for seven straight sessions.

Sterling has come under renewed pressure after British foreign minister Jeremy Hunt said on Sunday Brexit could be reversed if lawmakers reject the government's exit deal.

His remarks followed a warning from two major eurosceptic factions in parliament that Prime Minister Theresa May was likely to face heavy defeat at a parliamentary vote on Tuesday on whether to approve her EU exit plan.

The British Prime Minister is scrambling - so far unsuccessfully - to secure last-minute changes to an EU exit treaty ahead of the vote, which comes weeks before the United Kingdom is set to leave the European Union on March 29.