  We report a precise measurement of hyperfine structure in the $ \rm
{3\,S_{1/2}} $ state of the odd isotope of Li, namely $ \rm {^7Li} $. The state
is excited from the ground $ \rm {2\,S_{1/2}} $ state (which has the same
parity) using two single-photon transitions via the intermediate $ \rm
{2\,P_{3/2}} $ state. The value of the hyperfine constant we measure is $ A =
93.095(52)$ MHz, which resolves two discrepant values reported in the
literature measured using other techniques. Our value is also consistent with
theoretical calculations.
