Almost half of the estimated 11 million people in the country illegally live in those 11 states, based on Census data.
"There is no effort at all to round up, to utilize the National Guard to round up illegal immigrants", he told reporters.
"The Governor's Office has never received any information pertaining to the draft memo from federal authorities", Brown's statement said, adding that she "will continue to fight to keep our State a welcoming and inclusive place for all Oregonians, regardless of heritage, religion, or immigration status".
In 2006, former President George W. Bush called up 6,000 National Guard troops to California, Arizona, New Mexico and Texas. It was not immediately clear who authored the memo AP cited.
The controversy erupted early Friday when the AP reported that the Trump administration was considering activating 100,000 National Guard troops to serve as immigration enforcement officers. In fact, former Presidents George W. Bush and Barack Obama did so in 2006 and 2010, respectively.
The AP is reporting too that the original memo was written by DHS Secretary John Kelly.
Operation Jump Start authorized National Guard to do border enforcement and construction of a fence, but they were there to observe and report and were not involved in law enforcement.
It's possible it's a war of semantics; Press Secretary Sean Spicer has said it's not a White House document and has insisted the White House has no plans to ask governors to mobilize the National Guard to round up undocumented immigrants.
National Guard troops are widely deployed during disasters, but have been used to assist in enforcing immigration laws - typically by providing surveillance, intelligence and logistical support, and not in arrests and detention.
The use of National Guard forces in 11 states was suggested in the draft.
If proven to be an executive order truly in the making, it would fulfill yet another of Trump's immigration promises during his election campaign. According to reports, the Trump administration is hitting ground with its executive orders to carry out the his promises.