This is one of those knock-down, drag-out, war-of-attrition fights. Texas, Mississippi, and Louisiana have all recently passed restrictive laws on abortions. Abortion providers pushed back, arguing against the laws before conservative Southern courts. And it's not just one issue; there are facial and as-applied challenges to every variation on an abortion restriction one can imagine: admitting privileges, surgical clinic standards, 20-week bans, limits on non-surgical abortions, and more.
The results, somewhat surprisingly, have been mixed. A facial challenge to a Texas admitting privilege law as upheld by the Fifth Circuit, but an as-applied challenge out of Mississippi was narrowly upheld by a different panel over a very passionate dissent. Both cases have en banc requests pending. And the Fifth Circuit just heard oral arguments regarding the Texas surgical-standards provision for abortion clinics, a requirement which could force 13 of the state's 20 clinics to close.
Though abortion laws are being passed and tested throughout the nation, the Fifth Circuit's docket seems to have a new abortion case listed every month. And with both pro-life and pro-choice sides dug in for the long haul, it wouldn't be a surprise to see one or more of these cases reach the Supreme Court.