President Donald Trump Sunday raised the possibility of amnesty for hundreds of thousands of undocumented migrants who came to United States as children, a move that could further rankle his conservative base.

The announcement, via Twitter, comes a day after far-right groups panned immigration policy changes he proposed as a way out of the partial government shutdown.

“No, Amnesty is not a part of my offer. It is a 3 year extension of DACA,” Trump tweeted in response to the proposal he unveiled Saturday afternoon, which drew howls from conservatives. “Amnesty will be used only on a much bigger deal, whether on immigration or something else.”

On Saturday, the president offered three-year extensions of two immigration programs important to Democrats in exchange for his $5.7 billion demand for border wall funding. The border structure is the sticking point in getting 800,000 furloughed federal employees back to work as his stalemate with Democrats — approaching a month in length — continues.

[ANALYSIS | White House flashes urgency on shutdown — but actual goal is murky]