The Fianna Fáil leader has written to the Taoiseach saying they should both agree not to bring down the government until a Brexit deal is in place.
Micheál Martin says a general election during these final negotiations would create dangerous instability.
He went on to say that they should agree to pass the Finance Bill and other legislation until any deal proposed by the EU Council has passed in both Westminster and the European Parliament.
He and Leo Varadkar spoke this morning and have agreed to meet next week to discuss the review of the confidence and supply arrangement that's keeping the government in place.