Chairman Douglas Flint and chief executive Stuart Gulliver are due to appear before MPs from the UK's Treasury Select Committee of lawmakers.
The Chairman of the Treasury Committee, Andrew Tyrie, said that his organization "is concerned about allegations involving HSBC and its Swiss private bank."
"Banks have repeatedly told the Committee that, since the crisis, they have put in place reforms to ensure that they operate on the basis of sharply improved standards. The Committee will need reassurance that they have done so in private banking," Tyrie said.
His remarks came after it emerged that the Swiss unit of HSBC had helped wealthy clients evade hundreds of millions of pounds in taxes.
HSBC is believed to be one of the two most systemically-important banks in the world, along with JP Morgan.
The information about HSBC's Swiss accounts originated from former HSBC employee Herve Falciani in 2008.
Two years later, the leaked files were received by the UK's tax authority, Her Majesty's Revenue & Customs, which has identified 1,100 people from a list of 7,000 British clients, who had not paid their taxes. However, almost five years on, this has resulted in just one successful prosecution of a tax evader.
Stuart Gulliver's own tax affairs also made headlines after HSBC confirmed that he had a Swiss bank account to hold his bonus payments.
