It follows a £30 million local government probe into allegations of corruption, mismanagement and fraud.
The officer was caught asking a council repairs contractor for money towards a holiday, reports The Scotsman.
He asked the unnamed firm for a four-figure sum after the corruption probe began. The company, which did not hand over the money, raised the alarm with the council.
Police and external auditors have been investigating claims that employees from the local authority’s repair service for urgent work, the Property Conservation division, diverted building repair jobs to favoured contractors and accepted bribes.
So far this has led to the sackings of seven staff and the on-going suspension of another 13.
The external companies that carried out the repairs have faced accusations of grossly overcharging home owners for bogus or sloppy work.