Washington (CNN) The White House rejected a demand from the House Oversight Committee to turn over documents and comply with interviews concerning the security clearances of some of President Donald Trump's closest advisers, including Trump senior adviser and son-in-law Jared Kushner.

The refusal to provide the documents increases the likelihood that House Oversight Chairman Elijah Cummings will issue a subpoena for the information.

Cummings told CNN on Tuesday that "when you cannot get information, you cannot be a check," and said Trump's administration is "reluctant" to give the committee "the information that we need to do our job." The Maryland Democrat said that "under the Constitution, we have a duty -- it's not some witch hunt, it's a duty, a sworn duty, by the way -- to be a check on the executive branch."

The chairman added, "We will very carefully consider our next options, and we will do things that are responsible and consistent with the Constitution."

Cummings did not say if he would issue a subpoena, but said, "I am very careful in what I do," adding, "I want to make sure that there's clear transparency and that there's accountability."

Read More