  We show that the final-state interaction perfectly explains the recent
experimental data of BESIII Collaboration on the near-threshold invariant-mass
spectrum of $\Lambda\bar\Lambda$ in the process
$e^+e^-\rightarrow\phi\Lambda\bar\Lambda$. The position of peak in
invariant-mass spectrum is above the threshold though the interaction of
$\Lambda$ and $\bar\Lambda$ is due to an attractive potential. This potential
has a simple form and depends only on two parameters. We show that the
invariant-mass spectrum is consistent with the quantum numbers $J^{PC}=1^{++}$
and $2^{++}$ of $\Lambda\bar\Lambda$ pair but contradicts to $J^{PC}=2^{-+}$.
