Still formulating a legal response to a federal judge's ruling that blocked the implementation of President Obama's executive actions on immigration, the White House on Wednesday was offering reporters no guess on how long that delay might last - or when the Obama Administration would be in court to challenge it.

"Our legal strategy going forward is something that’s going to be determined by the Department of Justice," said White House Press Secretary Josh Earnest.

"But that strategy will certainly include an appeal of this ruling because we don’t believe that it’s a fair, accurate reading of the law," as Earnest again projected confidence that the judge would not prevail in higher courts.

On the other side, officials from Texas were just as energized about their chances to block the President's immigration changes.

"My 31st and last lawsuit against President Obama," said outgoing Texas Attorney General Greg Abbott, who was all smiles alongside other Lone Star State officials at the state Capitol in Austin.

"The President’s amnesty order of November of last year was on its face illegal," added Sen. Ted Cruz (R-TX).

As for Democrats, they were urging those in the U.S. illegally to wait calmly, echoing the confidence of the White House that this legal challenge would be turned aside.

But many Republicans see it much differently.

At this point, there is no time frame for when the Obama Administration will appeal, how long it will take to set a court date, when the arguments would take place, and more - with the outside chance that this could well go to the U.S. Supreme Court at some point.