Addictions experts are particularly worried about "hair of the dog" drinking at pubs that open, for historical reasons, first thing in the morning.
Later this month city licensing bosses are expected to approve a new policy that would see no new "breakfast licences" granted.
Existing pubs would continue to trade under a historical agreement - known as the "grandfather principle" - provided they stick to the terms of their licences.
Doctors are concerned about the health of a small but acutely vulnerable group of people who drink in breakfast pubs, which are the only place where you can buy alcohol in the early morning.
Iain Smith, of Scottish Health Action On Alcohol Problems, a consultant addictions psychiatrist at Gartnavel, said: "Those dependents on alcohol can wake up in the morning with severe withdrawal symptoms.
"Reducing availability in the morning should give them a break from consumption."
Dr Catherine Chiang, consultant in Public Health Medicine at NHS Greater Glasgow and Clyde, said: "Scotland has a higher death rate due to alcohol misuse than the rest of the United Kingdom, and the statistics for Greater Glasgow and Clyde are worse than that of Scotland.
"A wide body of research has shown that increasing availability of alcohol (in terms of number of licensed premises and opening hours) results in higher alcohol consumption.
"Licensing is a means of regulating the availability of alcohol use to reduce the harm caused by excess consumption.
"Breakfast licences are a particular concern because serving drink at this time of day may result in alcohol consumption throughout the day."
Supporters of breakfast bars say alcoholics could just as easily drink at home.
But doctors say this would only happen if drinkers are at the stage in their disease where they can have booze in the house and not drink it.
Police routinely check the handful of bars that open for breakfast - 56 have licences in Glasgow but few use them - stick to the rules.
But police sources stress existing bars are a health concern, not a public order one.
Duncan Evans, the licensing inspector for Greater Glasgow said: "The health implications are clear."
Historically, pubs opened early to cater for shift workers. Police surveys suggest this is no longer the case.
A draft licensing policy statement - likely to be finalised this month - makes this clear.
It states: "Early morning licensed hours attract individuals with alcohol dependency issues, which can compromise the objective of improving public health by allowing consumption of alcohol over a sustained period of time commencing in the early part of the day."