Any changes to the Irish constitution can only be enacted through public plebiscite.
"I will advocate for a Yes vote".
Minister for Health, Simon Harris, has agreed to work on legislation for unrestricted abortion up to 12 weeks should the referendum pass.
Mr Varadkar is due to announce details on the Government's position on the referendum after a Cabinet meeting in Dublin on Monday evening.
A referendum on the Eighth Amendment is expected in late May or early June.
The 1983 amendment commits authorities to defend equally the right to life of a mother and an unborn child, giving this largely Roman Catholic nation the strictest abortion ban in Europe.
But anti-abortion activists argue Ireland has unique laws which save thousands of lives every year, and that the removal of the eighth amendment would lead Ireland to mimic "ultra liberal" and "abortion on demand" British laws.
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That followed recommendations from members of the Citizens' Assembly to liberalise the law on terminations.
This is a change from Varadkers opinion back in 2014, when the Irish Independent quotes Varadkar as being "pro-life".
A cross-party parliamentary committee last month recommended that the state legislate to allow terminations with no restrictions up to 12 weeks into a pregnancy, a more liberal position than some had anticipated.
It also called for expectant mothers to be allowed an abortion at any stage of the pregnancy if doctors diagnosed a foetal abnormality that was likely to result in death before or shortly after birth.
The Attorney General Seamus Woulfe has previously advised the government against a "repeal simpliciter" of the eighth amendment.
When asked directly if he will campaign in favour of repealing the Eighth Amendment and to change Ireland's existing laws regarding abortion, the Taoiseach responded by saying "I'll be campaigning for them to be changed and to be liberalised, yes".
AN abortion referendum will be held at the end of May, it has been confirmed.