  We suggest a simple analytical description of the S-wave isoscalar $\pi\pi$
amplitude, which corresponds to a joint dressing of the bare resonance and
background contributions. The amplitude describes well the experimental data on
the $\delta^0_0$ phase shift in the energy region below 900 MeV and has two
poles in the $Re s > 0$ half-plane. Besides the well-known pole of
$\sigma(600)$-meson with $Re s \sim m_{\pi}^2$, there exists a more distant
pole with $Re s \sim 0.6 GeV^2$. Our analysis indicates for the dynamical
origin of the $\sigma(600)$ pole, while the second pole should be associated
with lowest $q\bar{q}$ state.
