Hi Daniel,
Yes, SUM is the answer..
Check the following notes:
Note 1133020 - How to import a SAP JVM patch into an AS Java
Note 1875044 - SAP JVM 4.1 Patch Collection 32 (build 4.1.032)
Note 1691084 - Modifying JAVA_HOME after update of SAPJVM 4 with SUM
1888623 - SUM tool is not able to identify the SAP JVM installed
Regards,
Divyanshu