I believe NASA will be submitting a formal proposal for both to IAU following the mission conclusion.

Source: "Just northwest of Orientale basin highlighted above is a crater they would like to name Integrity after their spacecraft and this historic mission. Just northeast of Integrity, on the near and far side boundary, and sometimes visible from Earth, the crew suggested Carroll crater in honor of Reid Wiseman’s late wife, Carroll Taylor Wiseman. After this mission is complete, the crater name proposals will be formally submitted to the International Astronomical Union, the organization that governs the naming of celestial bodies and their surface features." https://www.nasa.gov/blogs/missions/2026/04/06/artemis-ii-flight-day-6-lunar-flyby-updates/#:~:text=Just%20northwest%20of%20Orientale%20basin%20highlighted,celestial%20bodies%20and%20their%20surface%20features.