The Minister for Social Protection has said it would be "unfair" if any group of workers used their job to "close a city down or put communities at threat of crime" so they could get pay restoration quicker.
Following industrial action by Luas and Dublin Bus drivers this year, Leo Varadkar said there was a risk of a domino effect happening.
However, he said this had not yet affected the public service.
Speaking on Saturday with Claire Byrne on RTÉ Radio 1, Mr Varadkar continued that the agreements the Government has with the "vast majority of unions and associations representing state employees" are being implemented and that these are resulting in pay restoration.
He said: "I think it would be unfair if any group of workers, whether it's bus drivers or gardaí ... were to get pay restoration quicker or to get more pay restoration because they are able to close a city down or put communities at threat of crime."
On the same programme, the President of the Association of the Garda Sergeants and Inspectors Antoinette Cunningham said that she supports the Garda Representative Association's decision to take industrial action in November.
On Thursday the GRA voted to take industrial action on four dates next month following the rejection of pay proposals with the Department of Justice last week.
Sergeant Cunningham said that the AGSI will make a decision at a special delegate conference later this month on whether to join rank and file gardaí with strike action.
She said it is "regrettable" that after four years of pay negotiations that it has come to this point of industrial action.
She said gardaí are a "special case" and that they do not have the same rights as other public sector bodies, yet they are bound by Lansdowne Road Agreement.
She added that she supports "the GRA in the action that they have decided for their membership because I understand the rational why it has come to this point. I think the decision for the AGSI as a group has yet to be formally discussed and it will be done so in Athlone on the 17th".
In response to this, Mr Varadkar said he could understand why the gardaí would consider themselves as a special case considering the important job they do.
However, he said other public sector groups, like the health sector, could apply the same argument.
