DP83TC813R-Q1: Caps Required for Transformer Isolated 100BaseT1 PHY?

Part Number: DP83TC813R-Q1

Hi,

I am interested in using the DP83TC813R-Q1 with a Wurth STST transformer and CNSW common mode line filter for a 100BaseT1 application in a high noise environment. 

Wurth STST 74930000 (https://www.we-online.com/components/products/datasheet/74930000.pdf)

Wurth WE-CNSW 7442335900 (https://www.we-online.com/components/products/datasheet/7442335900.pdf)

The datasheet and checklist for the DP83TC813R-Q1 indicates that the cap coupling is required in all cases. I am assuming that even if I use the transformer, I need to add the caps so there isn't a short at DC across the transformer winding or will the PHY not be affected by that?

Thank you!