By Huw Jones

LONDON (Reuters) - Global accountant Deloitte has called on Britain's government not to clamp down on skilled migrants following Brexit, saying it could backfire on the economy.

Britain's vote in June on to leave the European Union means many banks and other financial firms will need advice from firms like Deloitte on whether to relocate business to the continent.

David Sproul, Deloitte UK's senior partner and chief executive, said Brexit also brings new challenges.

"The early economic indicators suggest the uncertainty created by the Brexit vote will lead to a slowdown in the second half of this year," he said in a statement on Tuesday.

A Deloitte survey of chief financial officers showed that restricting the inflow of skilled migrants to Britain could hurt the country's ability to attract investment.

Many of those who backed Brexit want migration curbed.

"The rights of EU migrants should be protected and any future migration policies should respond to our economic needs rather than be overly focused on total numbers. This is whilst recognizing the need for politicians and business leaders to make the economic case for immigration more clearly," Sproul said.

Deloitte employs 16,006 people in Britain and Switzerland.

The company's UK arm, which includes its Swiss business, reported revenue in the financial year to May 2016 of 3.1 billion pounds ($4 billion), up 11.2 percent on the previous year and its fastest growth rate in a decade.

The average profit earned by each partner was 837,000 pounds, up from 822,000 pounds in the year before.

"We have had significant success in the audit market, with four wins in the FTSE 100, taking our market share to 23 percent," Sproul said.

Regulators have introduced rules to boost competition in the audit market but so far companies are mostly switching between Deloitte and the other "Big Four" auditors - KPMG, PwC and EY - which dominate the sector.

($1 = 0.7581 pounds)

(Reporting by Huw Jones; editing by Susan Thomas)