Virgin Money (VMUK.L), Britain's sixth largest bank, said in a statement it had also seen "net business deposit inflows in recent days".
That means SVB UK's customer deposits are safe and their loans supported, HSBC's top bosses have said.
Franklin told Reuters a number of CEOs and startup execs had started researching other banks with which to park cash in addition to SVB UK this week, citing Barclays as a favourite among some.
But the collapse of SVB has intensified scrutiny of the business models of all lenders, including specialists with smaller balance sheets to fall back on.
"The UK banking system remains safe and continues to operate as normal."