In a statement to the Times on Monday, the much-in-demand Federal independent member for Lyne said he remains focused on the best interests of his electorate and of the country.

He said there had been a "tsunami of interest" in the current negotiations between himself, other independents and the two main parties but his focus was still on Lyne and its people's needs.

"Everything I have been lobbying and advocating for in my first two years in Federal Parliament will be front and centre when it comes down to the electorate's needs," Mr Oakeshott said.

He returned to Canberra early on Mondayyesterday for a full round of meetings and was expecting to meet again with leaders Tony Abbott and Julia Gillard later in the day.

He expects other meetings to follow during the week with ministers, shadow ministers and the Treasury.

"I want the people of the Lyne electorate to know I am not missing in action," Mr Oakeshott said.

"I and others have been thrust into the position of making this difficult call and the best place to be right now is in Canberra."

He said he understands people want a decision on who will be the country's next prime minister immediately. "But I would ask for some grace."

He said it will be a better outcome for the country if he, along with two other independent MPs Bob Katter and Tony Windsor, "take a bit of time to get it right", rather than rush a decision and get it wrong.

"I hope everyone understands that," Mr Oakeshott said.

"Constitutionally we have a prime minister, public servants are being paid and normal government is going on.

"One hundred and forty five people have opted out of choosing an executive and a prime minister, and with that the case, we'll investigate and make a good decision."