The Senate is likely to take up legislation aimed at curbing job outsourcing after the July 4 recess, a vote that would come amid the Obama campaign’s relentless hammering against Mitt Romney and Bain Capital’s overseas investments.

It’s another example of election-year coordination between the White House and Senate Democrats, who have already held votes on the Buffett Rule, pay-equity legislation and student loan interest rates that aligned with the administration’s message.

AFL-CIO President Richard Trumka, whose organization will be staging rallies and demonstrations in favor of the bill, said the vote would be a chance for Romney to “put your money where your mouth is.”