Apple has released a JAVA for OS X update – 2013-001 1.0.
The update includes:
Java for OS X 2013-001 delivers improved security, reliability, and compatibility by updating Java SE 6 to 1.6.0_41.
On systems that have not already installed Java for OS X 2012-006, this update disables the Java SE 6 applet plug-in. To use applets on a web page, click on the region labeled “Missing plug-in” to download the latest version of the Java applet plug-in from Oracle.
You should update now.