Facing opposition from environmental activists, the Obama administration has repeatedly rejected construction of the pipeline, but last week Nebraska Gov. Dave Heineman (R) approved a new path for construction through his state that his office says would avoid harming the environment.

The new path removes a barrier to the pipeline's construction, and a number of Republicans — and some centrist Democrats — are calling for its construction immediately, arguing that it will create jobs and lower energy prices.

House lawmakers have very little say in the decision, but the NRCC seems to believe Democrats face a vulnerability on the pipeline if they can tie Obama's decision to individual lawmakers.