I believe both Mouser and DigiKey have US, European, and Asian warehouses for delivery origin. As an American, I can’t accurately hazard a guess about delivery estimates for Europeans.
When I ordered, it was as a preorder, with a delivery estimate of mid-November (~33~ days after I ordered). About a week after I ordered, I got an emailed delivery update with the estimated delivery date ~7 days sooner than when ordered. It ended up shipping ~12 days after ordering (and ~20 days before the original estimated delivery date). I chose the cheapest shipping option (ground), and it arrived ~16 days earlier than originally estimated.
When I ordered, they had X number available to ship, and 32 week leads on any orders that contained more than the number they had ‘on-hand.’