"I will be doing all I can to change the fundamentals of the project so it does work, and there are things that can be done."
Mr Barnett's comments come in spite of joint venture partner Shell's preference for a floating liquefied natural gas (LNG) operation.
Some expect Woodside's final investment decision on Browse to be delayed by at least another year, meaning state government approvals for the project will lapse.
Mr Barnett confirmed that he held talks with Woodside chief executive Peter Coleman last week, reiterating his stance on the Kimberley gas project about it providing great economic and social benefits to the state.
"Peter and I had a discussion about a week ago and those discussions continue," Mr Barnett said.