Border confirmed reports he had been questioned by Australian tax officials conducting an extensive probe into offshore tax havens used by high-profile sports, entertainment and business personalities.
"I am reasonably relaxed. I have been in touch with the tax office via my accountants and hopefully it will be sorted out," he said on ABC radio.
Record-breaking Test spinner Shane Warne and "Crocodile Dundee" actor Paul Hogan are among scores of other high-income earners reportedly already questioned by officers from the tax probe, codenamed Project Wickenby.
The Sydney Morning Herald reported tax officials had interviewed Border and other Australian cricketers about money earned in England and banked in tax havens.
Border said the investigators questioned him about the operation of one particular account.
"Hopefully, I have answered them satisfactorily," he said. "It was just the easiest way of accessing funds when you are overseas and working away from home.
"That is the reason I had them. I haven't had them for a number of years because I don't need them any more.
"But, yeah, look it's just one of those situations that hopefully gets sorted out very quickly."
Project Wickenby is a seven-year probe involving more than 350 officers that was launched in 2004 to investigate offshore tax evasion among wealthy Australians.
Border, 51, played 156 Test matches for Australia, captaining the side as it rebuilt in the mid-1980s and laying the foundations for the current team's long period of dominance.