На
сайте написано:
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The installer will provide a default JRE to use to run the service. The installer uses the registry to determine the base path of a Java 6 or later JRE, including the JRE installed as part of the full JDK. When running on a 64-bit operating system, the installer will first look for a 64-bit JRE and only look for a 32-bit JRE if a 64-bit JRE is not found. It is not mandatory to use the default JRE detected by the installer. Any installed Java 6 or later JRE (32-bit or 64-bit) may be used
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Это для Windows. Полагаю, что в Linux требования не поменялись.