The move sets the Senate at direct odds with their House counterparts.
The Senate is pushing a long-term bill.
Four Republican senators are running for the presidency.
Sen. Lee wants Majority Leader McConnell to commit to using budget reconciliation.
The bill urges the VA to define military sexual assault as a service-connected cause of PTSD.
Rubio is part of a bipartisan group of senators reaching out to Kerry ahead of next week's talks.
The legislation comes in response to a string of high-profile security incidents.
A gunman shot 11 people in a Lafayette, La. movie theater last week.
Keith Laing 07/27/15 03:20 PM EDT
The House is balking at a multi-year Senate highway bill.
Keith Laing 07/27/15 03:05 PM EDT
The House has warned it will not take up the Senate bill.