"It is early days and no decisions have been made," said a spokesperson for the German lender.
Cameron has promised a referendum on the UK's European Union membership by the end of 2017, and prospects of an exit have become commonly referred to as "Brexit."
Deutsche Bank's UK business is based out of the financial district in London, known as the City. It employs 9,000 people in the UK, where it has its operations since 1873.
HSBC, Europe's biggest bank, had previously launched a review into moving operations overseas but this had been thought to be related to banking laws in the UK such as the bank levy, which is effectively a tax on banks.
According to Deutsche Bank, the group will do "scenario-based planning" on the implications of an EU exit on the bank's presence in the UK, including whether it would be advantageous for certain activities to be repatriated to the eurozone, specifically to Germany.
Many businesses have urged the government to bring forward the referendum to end the prolonged wait.
An Ipsos Mori survey in February, which polled over 100 chairman and executive directors of the UK's 500 biggest companies, found concerns about abandoning the EU within British boardrooms.
The survey showed that although 45 per cent captains of industry wanted to be part of an economic community, without political links, just 1 per cent would be happy to leave it all together.
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