Quote from: SilentEcho on Today at 11:14:07 AM

I think before banks start accepting Bitcoin as a medium of exchange, governments of powerful nations must first recognize it officially. Without legal acceptance, no bank will risk integrating Bitcoin into their system. However, once governments see Bitcoin as a legitimate and stable financial tool, banks will not only allow deposits but may even create new financial products around it.
But the main question is — will all governments agree to this? Because Bitcoin challenges their traditional monetary control, and this makes the process much slower.

I believe this could start with the US, based on the US president's stance towards Bitcoin and how it advises them on the creation of their own stablecoin. However, I believe we will see it happening after the banks understand the volatility of Bitcoin, or when they choose to partner with a centralized crypto exchange.
We already have banks like Ally Bank, which allow their users to link their accounts with CoinBase, and USAA also allows their users to do almost the same.

In the meantime, it is too early to decide if banks will allow their customers to deposit Bitcoin, but I can feel that we're on the verge of seeing it happen.