It is "time for action" at RTÉ, the national broadcaster's incoming Director General Kevin Bakhurst, who is due to take up the role tomorrow, has said.
Mr Bakhurst is due to contact staff via email "first thing in the morning" before informally meeting staff on site in Dublin.
Early tomorrow morning Mr Bakhurst will update staff on changes he will make to try to restore public confidence in RTÉ.
In a statement issued by RTÉ, Mr Coveney said he met Mr Bakhurst and told him that he "believed the tough job ahead of him would be made somewhat easier if he had a fresh lead team".
"I've tendered my resignation immediately to give him the space to do that," Mr Coveney said.
In the same statement Mr Bakhurst thanked Mr Coveney for his "significant contribution to public service media during his time in RTÉ".
Mr Bakhurst has been urged by the Government to take radical steps, with the Taoiseach hinting that perhaps he could "get rid" of RTÉ's executive board.
It is understood the changes set to be announced will be far reaching but tomorrow is likely to be just the start of a period of significant change in RTÉ.
It comes ahead of a number of Oireachtas committee hearings involving RTÉ management.
Speaking in Co Cork today, Taoiseach Leo Varadkar said he hopes at the end of the process "we will see a stronger RTÉ", adding that "we need public service broadcasting, particularly in our small democracy".
"The drip drip feed (of information) is not helpful and erodes trust," he added.
The next few days will be key to defining RTÉ's future and politicians are still looking for answers about the organisation's finances and pondering its future funding.
The organisation will remain in the political spotlight this week with presenter Ryan Tubridy and his agent Noel Kelly appearing before the Orieachtas Media Committee and the Public Accounts Committee on Tuesday.
The GAAGO streaming service will be examined by TDs and Senators on Wednesday.
While RTÉ bosses, including Mr Bakhurst, will appear before the PAC on Thursday.
Read more: Week ahead could shape RTÉ's future
31 documents requested by committee
Fine Gael TD Alan Dillon, who is a member of both the Oireachtas Public Accounts Committee and the Oireachtas Media Committee, has said 31 additional documents have been requested from RTÉ.
"There's documents in relation to the highest earners, there's documents around confirmation on whether there were costs paid from the barter account for other activities, be it hospitality or events," he said on RTÉ's This Week programme.
"There has also been documents around audits that have been completed over the past five years' appearances for top 20 talent in RTÉ."
He said the list is comprehensive and stated it is really important members of the committees have those documents.
There is an expectation they will be delivered to committee members tomorrow evening and most of the committee members are anxious to view those documents beforehand.
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Mr Dillon criticised how, so far, the information has been incomplete and they have been misled as he criticised the drip feed of information.
He also said that the future of sports broadcasting will be "teased out" this week as he highlighted a serious conflict of interest with RTÉ owning 50% of GAAGO.
He said some GAA fans were extremely unhappy with how it has been handled and that there was "real anger" amongst GAA communities about the paywall.
"It certainly was a trojan horse to get people to sign up," the former Mayo footballer said.
The main question will be around when it came to the selection of what games that were put behind the paywall as he said that has been a controversial matter in itself.
Too much focus on commercial activity at RTÉ - Minister
Meanwhile, Minister of State Thomas Byrne has said there has been too much focus on commercial activity in RTÉ and there has to be a return to the basics of public service broadcasting.
Speaking on RTÉ's The Week in Politics, Mr Byrne said it is a "really good moment" that Mr Bakhurst is starting at RTÉ tomorrow as he described the trust that has been shattered at the broadcaster following the hidden payments controversy.
Mr Byrne said he understood that one of the first things Mr Bakhurst intends to do, is to introduce a register of interests for RTÉ staff.
Mr Byrne said this was arising out of discussions Mr Bakhurst had with the Minister for Media Catherine Martin.
He said this would be very important and very welcome, pointing out that a similar register already exists at the BBC.
Sinn Féin's Louise O'Reilly says there must be sustainable funding for public service broadcasting but people have been let down by RTÉ.
She said RTÉ's senior executives need to understand that they have "a massive amount of work" to rebuild trust.
Ms O'Reilly also said the new Director General needs to take on board the views of the workers at RTÉ.
Labour leader Ivana Bacik said the nettle has to be grasped and there has to be a reform of the outdated licence system.
She proposed a household media charge based on progressive taxation principles.
Social Democrats TD Jennifer Whitmore said those coming before Oireachtas hearings need to be "clearer" in their responses.
After three weeks, there are still so many questions that need to be answered, the Wicklow TD said.
She also highlighted how RTÉ staff are bearing the brunt of the actions by those at senior level in RTÉ.
"They are finding it very difficult and very much left down by this inner circle who forgot what their role was, what their responsibility is and whose money they were spending," Ms Whitmore said.
She said over the coming weeks and months questions will be asked about the vision for RTÉ, adding that the problems need to be resolved now.
