There's no need to guess or bet if it will work or not.
Look at the documentation from BEA, especially this:
Supported Configurations for WebLogic Platform 8.1.
WLS 8.1 is only guaranteed by BEA to work on the operating systems and JVM versions listed in the tables on that page. It might work on a newer JVM or it might not - either way, it's not guaranteed by BEA so it is not recommended to try it in a production environment.