The vehicle was found by officers in Higher Bridge Street in the town early on Monday morning.
The Audi A5 was slapped with an immediate prohibition order while the offender was issued with a Traffic Offence Report (TOR).
The legal tyre tread depth for cars in the UK and Europe is 1.6mm across the central three-quarters of the tyre, according to law.
The tread must meet this minimum requirement across its complete circumference.
Worn tyres are particularly dangerous in the wet because a tyre’s tread helps disperse water away from the contact patch between tyre and road.
The incident was reported on Greater Manchester Police's Traffic Twitter account.