SYDNEY, March 22 (Reuters) - Australian authorities are planning to evacuate thousands more people on Monday (Mar 22) from flood-affected suburbs in Sydney's west, which is set for its worst flooding in 60 years with another day of drenching rain expected.

Unrelenting rains over the past three days swelled rivers in Australia's most populous state of New South Wales (NSW), causing widespread damage and triggering calls for mass evacuations.

"Flooding is likely to be higher than any floods since Nov 1961," NSW emergency services said in a tweet late Sunday. Authorities expect the wild weather to continue until Wednesday.

The fast-moving floodwaters detached houses, swept away vehicles and farm animals, and submerged roads, bridges, houses and farms, television and social media footage showed.

Nearly 2,000 people have already been evacuated from low-lying areas, NSW emergency services said.

Large parts of the country's east coast will get hit by more heavy rains from Monday due to the combination of a tropical low over northern Western Australia and a coastal trough off NSW, the weather bureau said.

"These two moisture feeds are merging and will create a multi-state rain and storm band from Monday," the Bureau of Meteorology said in a statement.

A severe flood warning has been issued for large parts of NSW as well as neighbouring Queensland.

"These are very, very serious and very severe storms and floods, and it's a very complex weather system too ... so this is a very testing time," Prime Minister Scott Morrison told radio station 2GB on Monday.

Sydney on Sunday recorded the wettest day of the year with almost 111mm of rain, while some regions in NSW's north coast received nearly 900mm of rain in the last six days, more than three times the March average, government data showed.