Will a 535i turbo fit the 135i?

[SuchFinessse]

I have a 2011 135i with 130,000 miles and it seems like the turbo is finally on the way out. I found an amazing deal on a used 535i turbo locally with 18k miles on it. I’m just not sure about the fit. I heard somewhere that the 135i and 535i have the same turbo but the 335i is slightly different. I don’t know. But if this thing fits, I’d like to jump on it. It’s a steal. If anyone knows anything, the information would be greatly appreciated.