This is a topic on Cato, Reason, and several other prominent publications of the right. Here's one: http://www.cato-unbound.org/2014/08/04/matt-zwolinski/pragma... and another one: http://reason.com/archives/2013/11/26/scrap-the-welfare-stat...

Disagreements on implementation are real (some on the right want this implemented only as Friedman's negative income tax, which is not a true GBI, and some on the left want a GBI in addition to the current welfare state), but there is still significant agreement, especially over the past few years.

By implementing basic income, you no longer need welfare, public healthcare, etc. You get a smaller government body as a result.

Some Libertarians have kicked around the idea. Basic income would replace all of the welfare bureaucracies.

EDIT: rcfox beat me to it by a few minutes.