The more serious of the two bugs exists in the Net Listener component of 9i, which "listens" for client requests for use of the database, according to a security bulletin from UK-based Next Generation Security Software (NGSSoftware), the company that originally discovered the flaws.
A buffer overflow problem in Net Listener could let an attacker overrun the memory assigned to the application, allowing attack code to be run in the database's security context, NGSSoftware said.
The hole is exploitable from remote computers and affects all version 9 releases of Oracle 9i running on Windows and VM, according to Oracle.
The second vulnerability is also the result of a buffer overflow, this time in Oracle's 9iAS Reports Server, NGSSoftware said.
If an attacker overruns the buffer in the software, they would be able to run code in the server's security context, which is often the local system context on Windows systems, the company said.
The flaw affects Oracle 9iAS Reports Server 1.0, but not 2.0, and any Oracle product containing Reports Server 184.108.40.206.0 and older, Oracle said.
Both patches are available to Oracle customers at the company's Metalink Web site.
Oracle has been running a marketing campaign claiming that its products were "unbreakable" and could not be hacked.