Problems converting a constant

I have a vbs file which contains a huge list of constants e.g

Private Const Client = 3

The problem I am having is that I need to change one of these constants into a variable populated by a function call. e.g

Private Const Client = MyFunction()

Naturally this will not work as it is a constant but I cant declare it as :

Dim Client
Client = MyFunction()

because on a million pages which include this file and refer to this variable they will find that Client = nothing.

Why cant I do this :

Dim Client = MyFunction()

There is no option explicit on my page although maybe the many pages including this file may have it on which I cannot change.
Any ideas how I can get around this?

Remove the constant/variable, and rename the function to Client (or create another function called Client which calls the existing function).

Thanks for that Si.
Jesus, it is so obvious but couldn't see the wood for the tree I'm afraid.
Thanks again.