Mr Thompson had been an outspoken and at times controversial figure during his tenure. He had spoken in the media regularly about the difficult aspects of the job, particularly the distress caused to himself and staff by the poor treatment of animals.
WDC did not want to release too much information, given they were still going through the procurement process.
"The existing contract is due to expire in June this year," said WDC chief executive Rob Forlong. "We called for registrations of interest in the contract in October last year. Four parties bid for the contract.
"The process is still under way and we will provide more information as soon it is complete."
The decision on who the contract is issued to rested with councillors, as the value of it was outside the delegated authority of staff.
ENL's contract was last renewed in 2011 for $3,336,000 for a three-year period plus a $36,000 annual bonus for good performance. It was then extended for another two years at the discretion of council.
At the time, staff reported ENL was performing well and acknowledged the work carried out by the contractor was at the "coal face" of council's relationship with the community.
The services provided under the contract included animal control, excessive noise control, parking and bylaw enforcement and the inspection of swimming pool fencing.