In an interview with the BBC Antonio Horta-Osorio, chief executive of Lloyds Banking Group, said that the only change they would notice would be a change of name.
Horta-Osorio said that TSB was a completely clean bank which had no legacy issues such as a huge bill from PPI compensation and the same protection for savers as other high street banks.
Millions of customers will be moved to the new bank, to be launched on Monday, which will have 631 branches.
The original plan, Project Verde, was sell off the branches as a condition of the government’s bail-out for the bank which is 39% owned by the tax payer.
The Co-op made a bid to purchase the chain of branches but the deal collapsed earlier this year.
The BBC has reported that Lloyds is planning to float TSB on the stock market in the middle of next year.