It might surprise you that crude will move by rail. Approximately 1.8 million barrels per day of pipelines have been built or are under construction. That should be adequate capacity for quite some time, but that is only part of the story. WTI oil prices have been significantly discounted to Louisiana Light Sweet (LLS) in recent history (Read more at Eagle Ford Oil Prices Trade at a Premium to WTI).
There are several projects underway to move crude from WTI's trading point, Cushing, OK, to the Gulf Coast near Houston. Those projects will relieve congestion in Oklahoma, but will make supply more abundant in the Texas refinery complex.
All that to say, there is adequate pipeline capacity to get into the Gulf Coast Refinery Complex, BUT there is a lot of other oil on its way there too. If Eagle Ford operators can get their production across the state line into Louisiana, it might mean several more dollars per barrel. That's potentially millions of dollars of savings per day across the Eagle Ford. The Live Oak Railroad and others will be the primary trading points for oil if prices prove more lucrative in other areas of the country.