Minister for Communications, Energy and Natural Resources Eamon Ryan has said that any ministerial reshuffle within the Greens is a matter for the Taoiseach in consultation with party leader John Gormley.
Mr Ryan said he was not aware of any agreement reached to rotate senior ministerial posts among party members, adding that he was happy in his current post.
Earlier, Green Party Chairman Senator Dan Boyle said the party is expecting to secure a second junior ministerial position in the upcoming Cabinet reshuffle.
Senator Boyle would not be drawn on speculation that party leader John Gormley may step aside as Minister for the Environment in favour of one of his backbenchers.
Mr Boyle said the reshuffle was a constitutional prerogative of Taoiseach Brian Cowen, but that as party leader John Gormley would be advising Mr Cowen.
Speaking on RTÉ Radio's Morning Ireland, Dan Boyle said the party had made an agreement with Fianna Fáil when negotiating the Programme for Government that there would be a fourth Green Party member in a ministerial position.
Despite the reduction in the number of junior ministers since then, Senator Boyle said it was still the expectation of the party that there would be a second Green junior minister as part of the reshuffle.
Senator Boyle refused to elaborate on a Tweet he posted on the internet yesterday evening, when he referred to John Gormley deciding when or if he is to leave the Cabinet, adding that it could be today, or it could be two years from now.
Transport Minister Noel Dempsey has said the question of a Government is a matter for the Taoiseach alone.
He said there was no reason why John Gormley could not replace himself with another Green as a minister, if he so wished.