Despite George Lucas no longer being involved in the “Indiana Jones” franchise, it seems that Steven Spielberg still wants to be involved directing these films and he wants to direct the reboot. Spielberg is not confirmed yet, he’s just interested and there is no script as of yet.
More here:
Steven Spielberg Hopes To Direct Chris Pratt In Indiana Jones Reboot
Will Harrison still be involved in some form, though? We’ll have to wait and see.
Spielberg has a lot of passion for the Indiana Jones character and you can see that he still does. As long as Spielberg wants to direct, I’m sure he’ll get it. I’ll go see it as long as Spielberg is directing, why not?
Kev
K'Brocking 
That is such good news. I hope he ends up doing it.