Systems, methods, and devices for determining porosity with high sensitivity are provided. In one example, a downhole tool with such high porosity sensitivity may include a neutron source, a near neutron detector, and a far neutron detector. The neutron source may emit neutrons into the subterranean formation, which may scatter and be detected by the near and far detectors. The near neutron detector may be disposed near enough to the neutron source to detect a maximum number of neutrons when the porosity of the subterranean formation is greater than 0 p.u.