The council’s Labour group wants Bill Longmore and deputy Barrie Sheldon to leave their posts.
Mr Longmore from Hanwood near Shrewsbury has faced fierce criticism for pressing ahead with the appointment of Mr Sheldon to the £50,000 post.
Last month Worcestershire County Council PCC panel told Mr Longmore there should be more competition for the post.
But the PCC confirmed Barrie Sheldon as his deputy and said the ex-detective inspector had a “wealth of experience”.
The motion of no confidence will go before full council next Thursday.
Although the council has no power to force Mr Longmore and his deputy to resign, if successful it would be another blow to the 72-year-old PCC just two months after being elected to the post.
He has already faced fierce criticism over the appointment of Mr Sheldon from the West Mercia Police and Crime Panel which said he had not gone through a ‘competitive and transparent process’ and urged him to consider other candidates.
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