Will a 2011 335i Engine fit my 2011 135i?

[Henny2020]

Hi,

I have a 2011 135i produced in 06/10 (N55). My current engine locked due to "oil starvation". I'm currently trying to purchase a used engine for my car but am unsure if this engine from a 2011 335i will fit. Can anyone help me out here? I want to be sure of all the things I may have to do/look out for when doing this exact swap. I will not be doing it but a mechanic in the area will.

Here's a link to the engine I'm looking to buy : https://www.ebay.com/itm/2012-BMW-33...d%3A1#viTabs_0

Thanks