Scottish-based banks have assets worth 12-and-a-half times the country's economic output and economists have questioned whether an independent Scotland would be big enough to host Lloyds and rival Royal Bank of Scotland.
If Lloyds were to stay in Scotland after it becomes independent, Westminster-based lawmakers have warned that the Bank of England would no longer be the so-called lender of last resort, to provide a backstop were Lloyds to run into trouble.
Lloyds required a 20.5 billion pound bailout during the 2008 financial crisis, which left the British government with a 40 percent stake.
The bank, which is now 25% government-owned, has stressed that it will not make any decisions until after the result is known. It has said that in the event of a vote for independence it will work with relevant authorities to ensure it can serve customers across the United Kingdom.