Sharing a thermister

If I take the resistance measurements directly, and output the measurements to a digital pot, would that work?

So, in the place of the current thermistor on the old circuit, I put the output of a DS1803 digital pot.

Will that work ? There's a 10k resister in the way though, so does that need to get removed? Does a DS1803 get directly connected to ground and the analog input or does it also require a 10k resister ?