Seven Fine Gael selection conventions are being brought forward from September to July.
The Sunday Times says the Taoiseach does not want his party to be 'wrong-footed' if an election crisis arises in the autumn.
The party's annual think-in will take place a week earlier than last year, nearer the beginning of September.
The additional candidates will be finalised and added to those already selected at a meeting of the Fine Gael executive council on July 4.
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Constituencies that have already selected candidates are Clare, Dublin South Central, Galway West, Kildare South, Tipperary, Waterford, Wexford and Wicklow.
