Can a car pass a safety inspection with TPMS light on?

I want to get snow tires for a car I'm buying and the used tires and wheels I'm looking at don't have TPMS sensors. If I put them on I'll trip the warning light.
My question is if this would cause me to fail a safety inspection? I'm not 100% sure the current tires have enough tread to pass a safety which is why I want to put on winter tires first.