It already did. Trump vs Hawaii, which was decided in the President's favor in June of this year.
How many times does the administration have to litigate the same thing?
I believe Trump v Hawaii had to a ban on a specific race/religion. The current case is specific to asylum seekers. As the law provides now, all anyone has to do it touch US soil and they cannot be immediately deported, but have to have a hearing to see if they qualify for asylum. Trump wants to make it where they have to come through a port of entry. I don’t like the law, and I think he’ll (we’ll) prevail in front of SCOTUS, but ultimately this has to be fixed by Congress, which if SCOTUS upholds what the President is asking for, perhaps Congress will get off their a*s and fix it.