John Cotton has warned that Chancellor Jeremy Hunt is considering ending the contract by failing to approve the appointment of a new subcontractor before the February 2024 deadline.
A replacement for Amey has been sought by the council and was expected to be announced in October - but the deadline has slipped on several occasions.
Now, Cotton is warning that the government is “letting the clock run down on our long agreed highways deal worth £600m over the next 12 years”.
Cotton and the Birmingham Labour Party have launched a petition calling on the government to “keep [its] promise and stop our roads falling into disrepair”.
Amey left the PFI contract in 2020, with Kier initially being handed a 15-month interim contract to take over the work until a long-term replacement could be found.