Story highlights Ten state attorneys general delivered an ultimatum to the Trump administration

The administration has angered activists at both ends of the spectrum with its stance

Washington (CNN) President Donald Trump has let a controversial Obama-era immigration policy continue -- and conservative states are running out of patience.

Texas Attorney General Ken Paxton was joined by his counterparts in nine other states in a letter Thursday warning Attorney General Jeff Sessions that if the Trump administration does not move to end Deferred Action for Childhood Arrivals, they will file a court challenge to the program.

At the heart of the threat is ongoing litigation over a related program -- giving the attorneys general an opening to squeeze the administration on DACA.

Despite explicitly pledging during the campaign to "immediately" rescind DACA, a program that gives undocumented immigrants brought to the US as children protection from deportation and the ability to work and study in the US, the Trump administration has continued to honor the program and issue new permits under it.

With its efforts, the administration appears to want to have it both ways, continuing the program and pledging to protect its participants while saying the situation isn't necessarily permanent and arresting those who officials say have lost their DACA status. But that position has angered activists on both sides of the issue, who in a rare moment of agreement have expressed similar frustrations that the administration won't clearly articulate its long-term plans for DACA.

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