  We propose a new method to detect short-range \textit{P-} and \textit{T-}
violating interactions between nucleons, based on measuring the precession
frequency shift of polarized $^3$He nuclei in the presence of an unpolarized
mass. To maximize the sensitivity, a high-pressure $^3$He cell with thin glass
windows (250 $\rm\mu m$) is used to minimize the distance between the mass and
$^3$He. The magnetic field fluctuation is suppressed by using the $^3$He gas in
a different region of the cell as a magnetometer. Systematic uncertainties from
the magnetic properties of the mass are suppressed by flipping both the
magnetic field and spin directions. Without any magnetic shielding, our result
has already reached the sensitivity of the current best limit. With improvement
in uniformity and stability of the field, we can further improve the
sensitivity by two orders of magnitude over the force range from
$10^{-4}-10^{-2}$ m.
