At the Democrats’ meeting on Saturday, some governors bemoaned the timing of the Justice Department lawsuit, according to two governors who spoke anonymously because the discussion was private.

“Universally the governors are saying, ‘We’ve got to talk about jobs,’ ” Gov. Phil Bredesen of Tennessee, a Democrat, said in an interview. “And all of a sudden we have immigration going on.”

He added, “It is such a toxic subject, such an important time for Democrats.”…

“I might have chosen both a different tack and a different time,” said Gov. Bill Ritter Jr. of Colorado, a Democrat who was facing a tough fight for re-election and pulled out of the race earlier this year. “This is an issue that divides us politically, and I’m hopeful that their strategy doesn’t do that in a way that makes it more difficult for candidates to get elected, particularly in the West.”