Democratic governor, Oregon's Gov. Kate Brown, says that as commander of her state's National Guard unit, she will resist the president's order because she doesn't believe in having a "militarized" border.
She said full details of the National Guard plan wouldn't be disclosed yet "because much of what we will be doing in conjunction with the border state governors will be worked out through the appropriate processes, as it has been in the past".
Trump signed a proclamation Wednesday under Title 32 directing National Guard troops to the border to combat a "surge of illegal activity" after it came to the public's attention that a caravan of 1,000 people were traveling across Mexico toward the USA border from Honduras.
The Texas National Guard said it had plans to place 250 troops there in the next 72 hours, while Arizona governor Doug Ducey said about 150 Guard members would deploy next week. And, in fact, governors such as Brown do have some power to say no.
"This is just something that the president reeled off to distract from the problems he is facing in Washington, DC", she said.
Brown, a Democrat, sent a series of tweets about the directive, which Trump said is to protect and enforce the border until the wall can be built.
'We sent him some information with respect to our best advice as how we could use the Guard to support our mission, ' she said.
Some governors from other states indicated they would resist any attempt to send National Guard troops from their states, if asked by the administration.
Those laws haven't changed, and there is no indication that the deployment under the Trump administration will have a larger impact, even if they provide intelligence gathering and fly helicopters and other aircraft over the border as they did in 2006.
Rep. Ted Lieu (D-Calif.) said Thursday that the California governor, who has previously accused the Trump administration of "basically going to war" with his state over immigration policy, could say no to the deployment request.More news: Hungary's future at stake in general elections: Orban
The total number of National Guard members now deployed to the border remains well short of the 2,000 to 4,000 members the president told reporters he wants to send.
Trump - who "has long stoked a xenophobic fear of newcomers among his political base" - is acting because he wants to appease supporters frustrated by the lack of progress on his promised border wall, the paper said.
In briefing reporters, Nielsen said the administration had recently seen an uptick in illegal border crossings after a steep decline past year.
Soldiers from the 36th Combat Aviation Brigade, 36th Infantry Division, preparing to deploy to the Texas-Mexico border on Friday in Austin, Texas.
National guard contingents in USA states bordering Mexico awaited guidance Thursday on the what duties they'll be assigned to help fight illegal immigration and drug smuggling along the border, and a Pentagon official said it has not yet been determined whether the troops will be armed.
USA presidents have deployed the military or the National Guard to help the Border Patrol in the past. Even the active duty military is typically prohibited legally against carrying out nationally police force functions, including apprehending individuals at the border.
The North Dakota Guard provided air, ground and engineering support along the Mexico border under Presidents Barack Obama and George W. Bush.
Mexico's Senate passed a resolution Wednesday calling for the suspension of cooperation on illegal immigration and drug trafficking in retaliation for Trump's move.
Mexican Foreign Minister Luis Videgaray said Wednesday that his government had asked the White House for an explanation of its intentions and would formulate a response "in defense of our sovereignty and national interest".