Help biasing ADC with multiplexer

[KX36]

Hi all,

Just a quick question I hope.

If I want to use an ADC with an external analog multiplexer (HC4053) to measure the AC component of several analog signals with unknown DC levels. The ADC needs its own DC bias. I haven't used a multiplexer before. Would the following be OK?

        cap
Input---||---Mux---+---ADC
                   |
                  bias

Or would I need another coupling capacitor between the mux and ADC's bias?

Thanks