The real question is: Will they? Probably not.
Via Hot Air:
As Allahpundit observed on Tuesday, congressional Republicans agree that Barack Obama’s executive actions involving the extension of legal status to millions of illegal immigrants have to be fought. The GOP is, however, split on what methods would be the most effective in blunting or even reversing Obama’s actions.
Congress’s more conservative elements believe that a series of symbolic measures should be used in conjunction with more operationally focused tactics. Some, like Sen. Ted Cruz (R-TX), have suggested that Congress should not invite Obama to Congress for his annual State of the Union Address and that no presidential nominee should be confirmed until these orders are stricken.
…On Wednesday, Sen. Jeff Sessions (R-AL) told Breitbart that a report via the nonpartisan Congressional Research Service contends that Rogers is incorrect. The CRS indicated that Congress can deny funds to the immigration enforcement agency despite the fact that it operates primarily on revenues collected through the imposition of fees.