StructureMap dynamic set properties per HttpRequest

Question

StructureMap Configuration

Is there a way in SM to dynamically inject property value only for the duration of a request then set the those property back to default after the request is completed?

I'm specifically referring in the HttpRequest context.

I have a IDBAccessor interface and a DBAccessor concrete implementation.

IDBAccessor has a public property for connection string.

I want to set the connectionstring dynamically for each HttpRequest depending on some parameter that is passed in.

Is there an easy to accomplish this?

Thanks for the input.