If courts are to rewrite the district maps, then Democrats are the ones who stand to benefit. A recent post on Rollcall by Bridget Bowman had the following:

Revised congressional boundaries could create opportunities for Democrats looking to win back the House — but also challenges if they must quickly find formidable candidates in newly competitive races. And if a court redraws the state’s map, the GOP-led state government would lose control of a tool that lawmakers in Texas and across the country have relied on to stay in power.

“As usual, it’s an interesting time in Texas politics where we don’t really know what’s going to happen,” said Colin Strother, a Democratic consultant in the Lone Star State. A panel of three federal judges in Texas concluded in March that three congressional districts in the 2011 congressional map violated the Voting Rights Act by diluting opportunities for minority communities to select candidates of their choice.

Many Republicans in Texas biggest worry is that election districts may be drawn by a non-partisan court. The Texas Tribune has the latest:

There are few things that strike more fear into the heart of a member of Congress than the word “redistricting.” That proved particularly true this week among Texas Republicans in Washington, thanks to a recent court ruling that came about just as talk was increasing in Austin that Gov. Greg Abbott may call a special session. Some Texas Republicans in Congress hope that any upcoming special session will include redrawing the state’s 36 congressional districts as part of its agenda.

The message coming out of Austin thus far: not going to happen. Several congressional Republicans told the Tribune they want Abbott to call a special session to redraw the Congressional lines. They believe such a maneuver would put their allies in the state legislature in the driver’s seat, circumventing Republicans’ worst fear: that a panel of federal judges will draw a less favorable map of its own.

See this post by Democracy Chronicles author Thomas Manning for more on the last court battle. And according to an April post by the Dallas Morning News:

Plaintiffs in Texas’ ongoing redistricting case are confident they’ll have a trial on whether the congressional and statehouse maps the Legislature adopted in 2013 discriminated against minorities. “I think it’s pretty clear that we’re going to get a trial on the 2013 maps, and hopefully one that schedules us in time so that it’s going to impact the 2018 elections,” said Jose Garza, a lawyer for the Mexican American Legislative Caucus, one of the plaintiffs in the case.

https://www.youtube.com/watch?v=auzMLHrDtEY