The worm cost the council more than £43,000 in lost traffic fines as the council could not use its Windows computer systems to issue the fines by the last date when they had to be issued.
The drivers benefitted as a result as 1609 tickets could not be issued during the 28-day legal limit, the newspaper report said.
Microsoft experts were among consultants called in by the council - and they took home some of the £1.2 million which the body paid out to get the problem resolved. Exactly how much was paid to the different consultants was not divulged.
There was a total of £178,000 in extra staffing costs incurred by the council, of which £169,000 went to clearing a backlog of benefit claims and council tax bills, the report said.
Additionally, compensation had to be paid to those whose benefit claims were delayed.
And it all came during a time when the world, and the UK in particular, is affected by the ongoing global financial crisis.
The staff at the council had to use paper back-ups during the period of the infection which was not specified in the report.
Conficker infects only Windows; people using OSX, GNU/Linux, or any variant of the BSDs is not affected. Microsoft has tended to treat the worm as a PR problem.
The fact that the company is benefitting from Conficker is a great incentive to keep producing poor-quality bug-ridden software that is susceptible to such malware.