SQL Server/ASP.NET Session State Management

[abraxas]

I was able to configure and run an ASP.NET (V2 framework) application to use
state session data stored on a SQL Server 2000 server database per MS KB
311209 (Persistent SQL Server Session State Management) without issues.

In the application "web.config" file I'm using this for the connection
string:
<sessionState mode="SQLServer" sqlConnectionString="Integrated
Security=SSPI;data source=sqlserver\instancename" />.

With this string the connection is established to the "ASPState" db in the
context of the web server "identity" (a user in SQL with dbo database
rights) so I don't have to specify a username or password as part of the
connection string.

However, I see that by default the SQL script "InstallPersistSqlState.sql"
sets up the "ASPState" database as accessible to all web applications that
utilize the above connection string.

Is there a way to somehow restrict the ASPState db, a store procedure,
etc... (or perhaps modify the sql scripts) so that only a specific
application can access this db for storing the ASP session data instead of
being globally accessible?