Morgan, who is a Conservative MP for Loughborough, today wrote to Sam Woods, chief executive of the PRA to request information on its recent survey of regulated firms that undertake cross-border activities between the UK and the rest of the EU.
She requested a response from Woods by Wednesday.
Woods had called for a summary of contingency plans for the "most adverse potential outcomes" of the UK leaving the European Union by the 14th of July.
"The cliff edge facing businesses in April 2019 is a cause for concern, particularly in the financial services sector," Morgan said.
Morgan also asked Woods for his views on a transitional arrangement with the EU.
Getting these arrangements right will be crucial for ensuring that the City retains its pre-eminence as a global financial centre, and to protect the economy and jobs as the UK leaves the EU.