Michael Gove has said that it was his decision to move aside from the role of Education Secretary in the latest ministerial reshuffle.
Asked on Sky News whether David Cameron had given him a choice about moving to become Chief Whip, Mr Gove said: "Yes, he did."
He said part of his new responsibilities would be making sure voters know there is a "straightforward choice" between Ed Miliband and Mr Cameron to be the next Prime Minister.
"Under David Cameron, our long-term economic plan will be secured. Under Ed Miliband many of the gains that we have made will be put at risk," Mr Gove claimed.
Michael Gove has said he has "no idea" what his salary will be in his new role of Chief Whip.
The former Education Secretary is set for a pay cut of almost £36,000 after David Cameron's latest reshuffle.
Speaking to Radio 4's PM, Mr Gove said: "I have no idea how much I'll be paid and it makes no difference to me."
He also brushed off suggestions that he had been demoted.
"Demotion, emotion, promotion, locomotion, I don't know how you would describe this move - though move it is," he joked.
Michael Gove has paid tribute to his successor as Education Secretary, describing Nicky Morgan as "one of the most intelligent" people he has worked with in government.
The Education Secretary also told ITV News Political Editor Tom Bradby his new job as Chief Whip meant he could play a role in ensuring a future Conservative government would be "a genuinely reforming government and also a genuinely socially progressive government".
Michael Gove has said he is "very excited" about his new role as Chief Whip, although he admitted he felt a "sense of sadness" about leaving the Department for Education.
Speaking to ITV News Political Editor Tom Bradby, Mr Gove said he had talked to David Cameron last week about the move and he was "delighted to take up that task".
He also indicated that he had been involved in other ministerial reshuffle moves, saying he had "played a role over the course of the last week with the Prime Minister and with the Chancellor" in making sure "the right people" were in place for the Conservatives.
Outgoing Education Secretary Michael Gove will be paid at minister of state level, £35,825 less than his current salary, the Prime Minister's spokesman has confirmed.
Mr Gove will receive a total £98,740 salary rather than the £134,565 he previously received as Education Secretary.
"He will received the same salary as the previous Chief Whip which is a minister of state salary," the spokesman said.
David Cameron has hailed outgoing Education Secretary Michael Gove as "one of my big hitters, one of my real stars" and said he was pleased to have moved him into one of the most important jobs in government.
The National Union of Teachers General Secretary Christine Blower said teachers across the country will be "wreathed in smiles" at the news that Michael Gove has lost his post as Education Secretary.
Outgoing Education secretary Michael Gove had "lost the support of the profession and parents", the National Union of Teachers has said.
"His pursuit of the unnecessary and often unwanted free schools and academies programme, the use of unqualified teachers, the failure to address the school place crisis and endless ill-thought out reforms to examinations and the curriculum have been his hallmark in office," the group said.
“Michael Gove’s search for headlines over speaking to the profession has clearly angered teachers. We remain in dispute over the direction of Government policy, which we believe is undermining the education service."
“We will be seeking a very early meeting with Nicky Morgan, the incoming Education Secretary, and we look forward to not only a new personality but a more conciliatory approach, one that demonstrates an improvement in policy for children, teachers and young people.”
New Education Secretary Nicky Morgan has been urged to avoid trying to "mark (her) mark" with "another raft of reforms" upon replacing Michael Gove.
Brian Lightman, general secretary of the Association of School and College Leaders (ASCL), stood apart from other leading education unions in paying tribute to the departing Education Secretary.
"As someone who has had extensive contact with Michael Gove I have absolutely no doubt that he has a passion for improving the life chances of young people," he said.
Yet Mr Lightman added: "Many of his reforms have been highly controversial and time will tell what the impact is."
The head of the teachers and lecturers union has said she is glad to see the departure of an Education Secretary who "chased newspaper headlines rather than engage with teachers" and became "more of a liability than an asset" for the Government.
Dr Mary Bousted, general secretary of the Association of Teachers and Lecturers (ATL), said David Cameron "has, belatedly, realised that Michael Gove's ideological drive is no substitute for measured, pragmatic reform of the education system". She added:
The dismantling of the structures which support schools, the antagonism which (Gove) displayed to the teaching profession and the increasing evidence of chaos in the bodies he established - in particular the Education Funding Agency - has led Cameron to one conclusion - Gove is more of a liability than an asset.
Successful education systems value the views of the teaching profession, which Gove insulted when he called them 'the blob'. ATL looks forward to a more constructive relationship with his successor, Nicky Morgan.