The frigate is due to sail through the South China Sea.
Mr Williamson said it was important for Britain, Australia and other countries to "assert our values" in the South China Sea.
Both sides agreed to continue discussions on confidence-building measures to increase mutual trust and confidence and to exercise self-restraint in the conduct of activities in the South China Sea that would complicate or escalate disputes and affect peace and stability.
British officials first flagged the voyage six months ago and the journey is likely to stoke tensions with China, which claim control of most of the area and has built military facilities on land features in the sea.
Williamson said it was important that U.S. allies such as Britain and Australia "assert our values" in the South China Sea, a marginal area of the Pacific Ocean that is believed to hold vast oil and gas deposits and through which US$5.0 trillion in trade passes annually.
"We've got to ensure that any form of malign intent is countered and we see increasing challenges - it's not just from China, it's from Russian Federation, it's from Iran - and we've got to be constantly making sure that our security measures, our critical national infrastructure is protected", he said. This is a great opportunity for the United Kingdom and Australia to do more, to exercise leadership'.
"A good example is in terms of what you've been looking at in terms of critical national infrastructure. we've always encouraged investment from outside but it's making sure it's for right time of investment and it isn't something that puts our utilities, our critical national infrastructure in a more vulnerable position".
Presidential spokesman Harry Roque said the issue would be raised with an worldwide ocean mapping agency under the United Nations, which was responsible for assigning names on underwater features. But given the history of bilateral ties, the limits of advances made so far, and the difficulties that lie ahead, we should be cautious about buying into the hype of Sino-Philippine breakthroughs in the South China Sea. "It's against the principles Western liberal democracies hold dear - free speech, free thought", he said.
Also in 2016, the United Kingdom said it would deploy the aircraft carrier HMS Queen Elizabeth to the Pacific and conduct overflights with fighter aircraft.
Freedom of navigation in South China Sea is not a problem.
Likewise in 2016, the Communist Party's mouthpiece The Global Times launched a scathing attack on the Australian government, following its decision to support an worldwide tribunal over the South China Sea.
The tribunal's 2016 ruling, which China refuses to recognize, included clarifying that the Reed Bank was within the 200 nautical mile Exclusive Economic Zone of the Philippines and therefore, it had sovereign rights to exploit resources there.
The media outlet said "China must take revenge and let it (Australia) know it's wrong".