Officers want meeting with Martin to discuss concerns but voice full supportfor Minister's proposals.
The body representing health officers who will be charged with implementing the smoking ban is to meet the Minister for Health, Mr Martin, in the coming weeks to discuss the resource implications of the move.
The Environmental Health Officers' Association, which has voiced its full support for the ban, is expected to seek more staff or bonus payments for workers in return for the additional workload.
However, a spokeswoman for the association declined to comment on what measures it will be seeking when it holds a meeting with Mr Martin.
The Minister has said that environmental health officers attached to health boards, who number around 300, and Office of Tobacco Control inspectors will be responsible for implementing the ban. Mr Martin has also rejected suggestions that the ban will be difficult to enforce.
He said just 60 inspectors have been appointed to police the ban in New York City.
A spokeswoman for the association, Ms Anne Marie Part, said it welcomed the ban, which members had been seeking for some time.
"We're fully supportive of the measures and envisage that we'll work in partnership with the Health and Safety Authority in implementing the measures," she said.
"We're not supportive of a compromise, which would lead to enforcement difficulties.
"There are resource implications for the move, but we fully support the measures," Ms Part added.
Under the Public Health Tobacco Act (2002), the occupier, manager and anyone else in charge of the workplace where smoking occurs may be found guilty of an offence.
Fines of up to €1,900 are the main penalties to be used to enforce the workplace smoking ban, although the law also allows for jail sentences of up to three months.
The Department of Health is to publish guidelines, currently being drawn up by the Office of Tobacco Control, to advise publicans and other employers of measures which they should take to prevent smoking on their premises.
The environmental health officers and Office of Tobacco Control officials will carry out random checks on premises, although the Minister has said the public will also be able to report pubs where smoking is taking place.
Mr Martin has firmly ruled out any compromise or delay in the introduction of the smoking ban, despite proposals from publicans to limit the measures.
Yesterday, the Licensed Vintners' Association (LVA) and the Vintners' Federation of Ireland said they were deeply concerned by Mr Martin's refusal to discuss any of its compromise proposals.
Mr Donall O'Keeffe, chief executive of the LVA, said: "Given that over 3,000 jobs in the industry are under threat the Minister's refusal to discuss and consider any compromise is staggering.
"What we are seeing is a ban on dialogue I would like to know if his Government colleagues are in agreement with this approach."
