The Bank of Greece said that it was "consulted" in the summer by the three organisations bankrolling the country's recent debt rescue about postponing the exercise until later in the year.
It gave no date for when the tests were originally to be held.
"The reason for postponing is that a separate stress test following closely the release of the recent EU-wide stress test results would likely contain no additional information," the Bank said.
"The exercise that will take place towards the end of the year aims to complement the estimation of the capital requirements under Pillar 2 and is part of the supervisory process," it said in a statement.
The European Union carried out stress tests on some 91 major EU banks in July, with most judged to have passed despite some criticism that the testing was not rigorous enough. Five Greek banks passed with varying success but a sixth, ATEbank, failed to make the grade.
The Financial Times had reported that the International Monetary Fund, European Commission and European Central Bank agreed to delay testing the solvency of the bank sector by one month to the end of October.
In May, the three put together a €110bn ($140bn) rescue package for Athens to save it from default, with the government in turn adopting draconian austerity measures to repair its strained public finances.
The Financial Times said the delay in the test means that the banks' nine-month results can be assessed, along with a cash call next month of €1.7bn by National Bank of Greece, the country's largest lender.
Greece offers €300m of three-month bills on Tuesday, after selling more than one billion euros last week, as the government tests how far it has gone in restoring its credibility on the markets after the country's near collapse in May.
While Greece has been able to raise money from the markets, it has also had to pay very high rates of return to get it and the key issue will be whether it can reduce its borrowing costs.