“(Prime Minister) Manasseh has said he will not allow a military base in terms of the Solomon Islands, we take him at his word,” Mr Dutton said.
“We’ve got Australian Federal Police and troops there at the moment … We’ve been a trusted partner for a long period of some time.”
The Solomon Islands last month signed a security deal with China that could see Beijing set up a military base there.
Mr Dutton said growing Chinese assertiveness in the Pacific was not just a challenge for Australia but for other nations such as Japan and India.
“The Chinese operate by a very different presence of a security force within Africa and elsewhere,” Mr Dutton said.
On Wednesday, Mr Sogavare launched a broadside against countries critical of its new deal with China, claiming the Pacific nation had been “threatened with invasion”.
In a full-throated defence of the pact, which many experts fear allows China to establish a military presence less than 2000km from the Queensland coast, he hit out at the “glaring hypocrisy” of “some of our partners working with their agents on the ground”
“We are threatened with invasion, Mr Speaker, and that’s serious,” Mr Sogavare told Parliament.