Can ArcSDE 9.3.1 be installed and run on a system with ArcGIS Engine 9.3.0 installed

Our database is going to by upgraded to Oracle 11g, from Oracle 10G. Currently, our apps run under ArcGIS Engine 9.3.0,
ArcServer 9.3.0, and ArcSDE 9.3.0.

ArcSDE 9.3.0 doesn't support Oracle 11g, can we just install/upgrade ArcSDE 9.3.1 and leave the engine and the server at the version 9.3.0? Will this configuration work?

We don't need to upgrade any SDE database, or import/export any gis data, we will just create a new SDE database (9.3.1) from scratch.


Thanks