Albury Council chief executive Frank Zaknich has sought re-appointment to the role from councillors.
He originally joined the council in 2013 on an initial four-year deal as the permanent replacement for Les Tomich, who had to retire for health reasons.
His employment contract was listed as an agenda item last week in the confidential section of the meeting.
But, draft minutes of the meeting revealed that councillors deferred consideration of Mr Zaknich's request for re-appointment to a date no later than the June 7 council meeting.
The motion was moved by Cr Darren Cameron and seconded by Cr David Thurley.
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The extension in the role comes in the same year councillors are up for re-election after local government elections were postponed 12 months due to COVID-19.
The CEO tenure has to be determined within six months of their existing contract expiring.
The most recent contract extension coincided with a senior management review which included Mr Zaknich's title changing from general manager to chief executive and the appointment of two deputy chief executives to replace the former four-member director model.
The deputy chief executive roles are occupied by Tracey Squire and Brad Ferris, who were responsible for tourism and economic development and engineering respectively under the former director model.
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