A Senate vote to repeal healthcare reform could come as early as this week, a senior Republican senator said Tuesday. 

Sen. John CornynJohn CornynSenate braces for fallout over Supreme Court fight Former congressman indicted on conspiracy charges No. 2 Senate Democrat opposes Trump's Supreme Court pick MORE (R-Texas) wrote that the Senate could vote on House-passed legislation to do away with President Obama's signature healthcare law. Any such vote would come on the heels of a federal judge's decision on Monday to strike down the whole law as unconstitutional.

Cornyn said on Twitter:

Vote on HC repeal could come as early as this week in the Senate

Republicans, led by Minority Leader Mitch McConnellMitch McConnellHow the GOP’s ‘Access to Care’ bill cuts down states’ rights Senate braces for fallout over Supreme Court fight Republicans seek to lower odds of a shutdown MORE (R-Ky.), have vowed to force a Senate vote to repeal healthcare reform. Sen. Jim DeMint (R-S.C.) introduced legislation mirroring the House's repeal bill, which passed through the lower chamber, and by Monday, all GOP senators had signed onto it as a co-sponsor, suggesting a united Republican front for repeal in the Senate.

But although McConnell has certain procedural tactics available to him, Democrats and Majority Leader Harry ReidHarry ReidRepublican failure Senate about to enter 'nuclear option' death spiral Top GOP senator: 'Tragic mistake' if Democrats try to block Gorsuch MORE (D-Nev.) appear disinclined to allow a vote on repeal, even if it's likely to fall short of passage. Twenty-three Senate Democrats face reelection in 2012, some of them in conservative or swing states. Forcing them to take a vote for the record on repeal would almost certainly be used against them by the GOP in the 2012 elections.

It's not clear that Monday's court ruling will at all encourage Reid to allow a vote on repeal, though the politics have certainly engrossed the upper chamber. The Senate's No. 2 Democrat, Dick DurbinDick DurbinRepublicans seek to lower odds of a shutdown No. 2 Senate Democrat opposes Trump's Supreme Court pick The Hill’s Whip List: 30 Dems are against Trump’s Supreme Court nominee MORE (Ill.), said he'll chair a hearing this week on healthcare reform's constitutionality.