If your dependencies are defined in the setup.py file, you can first dump them to an external file using:
python setup.py egg_info
This will list all your dependencies in YOUR_PROJECT.egg-info/requires.txt file. Then you can install them using pip:
pip install -r *.egg-info/requires.txt
to delete what you just created:
rm -rf *.egg-info/
to save some time copy pasting:
python setup.py egg_info
pip install -r *.egg-info/requires.txt
rm -rf *.egg-info/