* Some governments seek support from new $3 bln fund-ADB

* New fund is part of extra $10 bln in ADB lending

* Asia faces most difficult economy in a decade-ADB head

* Asia must be prepared in case flu spreads-ADB head

By Gde Anugrah Arka

NUSA DUA, Indonesia, May 5 (Reuters) - Some Asian governments are already looking for support from the Asian Development Bank's new $3 billion facility to counter the effects of the global economic downturn, the head of the bank said on Tuesday.

ADB President Haruhiko Kuroda told reporters at the end of the bank's annual meeting that the counter-cyclical fund was likely to be approved by the board within weeks.

"There are already quite a few governments indicating their intention to borrow from the new facility," he said, although he gave no details.

"The fund will provide fast disbursing support... to swiftly provide targeted support for the poor."