Government Ministers will debate new abortion laws today.
They'll discuss the Oireachtas Committee report on the 8th amendment which was published just before Christmas.
Varadkar said there was "strong consensus" that a referendum be held this year but he declined to say on which side he'll be campaigning.
Taoiseach concerned that abortion proposals 'go too far'
It was a private and personal matter and there was a diversity of views in "almost every household in the country", Mr Varadkar added.
The Taoiseach has said he wants a referendum in May, and the Dáil will need to move quickly when it returns next week if they want to achieve that. "And I will advocate for people to vote on the lines of the views that I will express, but I'm not going to be ramming my views down anyone's throats", he said.
The Taoiseach says allowing abortion without restriction for up to 12 weeks into a pregnancy may be a step too far for some people.More news: Arpaio bid for Senate shakes up already tumultuous primary campaign
The cabinet will make a decision before the end of the month on this issue and Mr Varadkar said it was the Irish government's intention to hold a referendum by the summer.
Some ministers have publicly stated their position while others have not.
A number of ministers are known to be in favour of supporting the recommendations - including Simon Harris, Paschal Donohoe, Regina Doherty, Eoghan Murphy, Katherine Zappone, Josepha Madigan and Charlie Flanagan.More news: Kaalakaandi Review: Could Saif Ali Khan Starrer Impress The Audience?
"I don't believe that this is an issue that should be in our constitution", he said.
The minister for Business, Enterprise, and Innovation, Heather Humphreys, said the issue was "complex and emotive" and that she would continue to consult members of her constituency, particularly women.
"Obviously I don't wish to pre-empt any decision that will be taken by Government", he said.More news: No major oil spill after tanker collision: China
The committee's recommendation dominated the first cabinet meeting of the year today.