As mentioned by Sudipta, you can create and deploy App service Environment in the existing vnet however it is a costlier option. If you would only be running a couple of functions and if you are looking for a cheaper option, you can simply create the Function in a dedicated app service plan or premium plan and integrate with regional vnet where you have configured expressroute.
The below article has all the steps and details you need,
https://learn.microsoft.com/en-us/azure/azure-functions/functions-networking-options?tabs=azure-cli
Hope this helps! Feel free to reach out to me if you have any queries or concerns.