The Taoiseach Leo Varadkar said he met with the parents and a sister of Ibrahim Halawa earlier this week.
Mr Halawa, who is from Firhouse in Dublin, was jailed after being arrested during protests in Cairo in August 2013.
Mr Halawa has been detained in Egypt for almost four years and his trial has been adjourned 27 times during that period.
"I gave my commitment and that of the Government to do everything that we can to assist in his early release and return to Ireland, while always bearing in mind that we don’t want to do anything that might be counter-productive," said Mr Varadkar.
He said the Foreign Minister Simon Coveney has indicated he is willing and able to travel to Egypt, if it is beneficial to the case.
"We’re conscious that we want to make sure that whatever we do produces a good outcome for Ibrahim and doesn’t make the situation more difficult for him," said Mr Varadkar.
He also said he would also like to speak to the President of Egypt, as his predecessor Enda Kenny did, to make the same appeal to him that Mr Halawa be released as soon as possible.