His comments come as the Ceann Comhairle John O'Donoghue prepares to vacate the chair at Leinster House tomorrow.
Mr O'Donoghue is expected to deliver a statement giving his side of the story about travel and expenses that led to the Labour Party asking for his resignation.
Speaking on RTÉ's Drivetime, Mr Sargent said he was approached to see if he was interested in the job.
However, speaking this evening Taoiseach Brian Cowen said his support for Trevor Sargent's candidacy for position of Ceann Comhairle was not part of any deal worked out at the weekend in the Programme for Government with the Green Party.
He said Minister for the Environment John Gormely has indicated that Trevor Sargent is interested in becoming the next Ceann Comhairle.
But Mr Cowen said there are a number of eminently suitable candidates in his own party for the position.
The Taoiseach said that issue will be decided tomorrow.
