Hi Alexis.
Any reason to go to Oracle 11G and not to 12C?
For Oracle Database 11.2.0.4 - the Terminal (final) Patch Set for Oracle Database 11.2 -Oracle will waive (no extra cost, no action required) Extended Support to every customer with a valid support contract until May 31, 2017.
You can extend the Extended Support for Oracle Database 11.2.0.4 until 31-DEC-2020 - but then at the usual extra cost.
This information can be found in MOS Note:742060.1.
Recently we did this same OS/DB Migration and we did go to 12C.
Regards.
Osvaldo Dias Ferreira