Minister of State for Disability Issues Finian McGrath has described calls for a second term for President Michael D Higgins without an election taking place as "boring" and "stale."
In a hard-hitting statement at Government Buildings, he said the presidency should never be in the ownership of the establishment in any country.
The Independent Alliance TD was speaking at the launch of a €14m funding announcement for the Disabled Persons Grant Scheme.
"There should always be a challenge. I think there should be an election and I would love to see some credible Independent candidate coming on board," Mr McGrath said.
He said that he had not identified a suitable candidate yet but he was talking to "people privately behind the scenes."
"I firmly believe that there will be an election and hopefully we can get someone to challenge the status quo, challenge the cosy consensus that is in Irish society."
Mr McGrath also called for negotiations to take place between Fianna Fáil and Fine Gael over the summer months amid calls from Taoiseach Leo Varadkar to renegotiate the confidence and supply agreement.
"I think there should be ongoing interactions and negotiations. We should be talking to the main opposition party that is supporting the confidence and supply agreement," he said.
He admitted he has heard that some Fine Gael ministers have advised the Taoiseach to call an election soon.
"You would hear those kind of discussions in government. That's the part of the reality of being in a minority government.
"But I would warn some people not to get too cocky or to be swaggering around the place. That's not acceptable. We need to ensure that people have stable government at a very busy time in our history."