In a message to Kwinana Labor branch members on Saturday afternoon, Cook said he was moving from his Wellard home with his wife Carly Lane closer to Parliament House in West Perth.
The WA government has moved to allay concerns around fuel price and supply, after a roundtable meeting in Perth on Wednesday afternoon.
Petrol prices have risen across WA and supplies have become limited, but government officials say panic buying is the cause.
Premier Cook says the decision of he and his partner moving to a residence close to Parliament House will help him further focus on his work.