Eucalyptus oil does help with sleeping if you're having trouble sleeping.
To use eucalyptus oil for sleeping place the eucalyptus oil in a diffuser before going to bed and the aroma of Eucalyptus Oil will give your body feelings of relaxation which will get you ready for good nights sleep.
Since I started using Eucalyptus oil in a diffuser I've been able to sleep much better and feel fully rested the next day.