Taoiseach Micheál Martin will discuss the different travel restrictions between Northern Ireland and the Republic at this week's meeting of the North-South Ministerial Council.
The council, one of the bodies set up under the Belfast Agreement, will meet in Dublin on Friday for the first time since 2016.
Sinn Féin leader Mary Lou McDonald has accused Mr Martin of maintaining a "passive stance" in highlighting the need for an all-island approach when it comes to health.
She said: "We do it for animal health, why do we not do it for human health? "Can I say to you, Taoiseach, that is your opportunity to bring your critique of the Northern position in terms of international travel and to debate that with your colleagues. "Sinn Fein will support