A review has recommended removing BAE Systems' monopoly on shipbuilding for the Royal Navy. It was announced earlier this month that the company's two yards on the Clyde would build eight larger Type 26 frigates.
The review, by leading businessman Sir John Parker, calls for future contracts to be put out to wider tender.
Downing Street has insisted Scotland would continue to play a central part in delivering new warships.
Rosyth in Fife is also one of six shipyards across the UK currently involved in the £6.2bn project to construct two aircraft carriers for the Royal Navy.
'Afraid of competition'
However, the contract to build eight smaller general purpose Type 31 frigates has yet to be announced.
Sir John, chairman of mining giant Anglo American, said removing BAE Systems' monopoly would increase productivity and reduce the time spent on construction.
He was tasked with examining how British naval shipbuilding could be kept sustainable and increase exports.
Sir John told the Good Morning Scotland programme that "no-one should be afraid of competition".
He added: "The whole idea is to expand the naval shipbuilding output in the country and also at the same time there has been quite a renaissance in a number of yards around the country that have actually taken part in supplying blocks to the aircraft carriers being built at Rosyth. (end of excerpt)
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Click here for the full report (23 PDF pages) on the UK government website.