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Backup battery for Hibernation Module in TM4C1290NCDT

I need to add a backup battery for the Hibernation Module.  The obvious solution is one of the Lithium chemistries, but they all have fully charged voltages of 4 volts or higher, but the Hibernation Module has a maximum input voltage of 3.6 volts.  The application is mains powered but the battery is to keep a date/time clock in the Hib Module when not plugged in.  Suggestions?