BCB chief executive Nizamuddin Chowdhury said even if the cycle gets extended, it will impact the future series.
"If the Test Championship final date gets extended, then maybe there will be a chance but even after the extension, even if there is an opportunity, it will have an impact on other schedules as well because we have a compact schedule until 2023," he concluded.
India are currently leading the World Test Championship (WTC) standings with 360 points. They have won seven and lost two Test matches so far. The Virat Kohli-led side is followed by Australia (296), New Zealand (180) and England (146) in the table.