Pecker is a key witness in the case against the former US president, who is accused of falsifying business records to cover up hush-money payment
Despite an encouraging slowdown in new virus cases and better-than-expected manufacturing data, investors are reserving judgment on whether a US economy with 30 million people out of work can really lead the world's recovery.
"We're still in a situation where the market wants to believe the recovery is on track but is still worried about the COVID situation," said Bank of Singapore FX analyst Moh Siong Sim.
"The fiscal wrangling in the US is the next key test for risk sentiment, and if they manage to get a deal - which seems likely - that could be supportive of risk sentiment."
Top Democrats in Congress and White House negotiators on Monday said they had made headway in talks on the latest coronavirus relief bill, though an expired $600-per-week unemployment benefit remains a sticking point.
It is not clear whether an agreement would be enough to shift the market perception that the US economic recovery lagged those of Europe and Asia.
"The historically extended long positions in the euro is dry tinder, but there is no spark to trigger a more significant reversal just yet," said OCBC Bank FX strategist Terence Wu in Singapore.
"We are still left with hazy signals about the potential turn in broad dollar prospects."
But it came with a warning as output remains far below pre-virus levels and the employment index was below forecasts, at a still contractionary 44.3.
"The recovery cannot accelerate with the virus still not under control in large segments of the global economy," said Deutsche Bank's chief international strategist Alan Ruskin.
"We expect much more sensitivity to the August data, now that 'the easy part' of the bounce back from lockdowns is done."
The United States had a second straight week of slowing infections last week, but a fourth week in a row of rising deaths, a Reuters analysis found, as new hotspots emerge there and around the globe.
Cases are on the march again in Europe while Australia's second-biggest city of Melbourne announced a curfew and fresh restrictions on movement to suppress an outbreak there.
"This recovery is ... likely to be both uneven and bumpy," the Reserve Bank of Australia said in its policy statement on Tuesday, forecasting Melbourne's lockdown to push unemployment to about 10% later in the year from 7.4% in June.
Elsewhere the yen was stable at 106.04 per dollar while the pound hung on to most of July's gains on the greenback at $1.3079. The New Zealand dollar was flat at $0.6612.
Elevated Sino-U.S. tension kept the yuan on the weaker side of 7-per-dollar at 6.9806 in onshore trade
Pecker is a key witness in the case against the former US president, who is accused of falsifying business records to cover up hush-money payment
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