  The complete and incomplete fusion cross sections for the $^{7}$Li+$^{205}$Tl
reaction were measured at near barrier energies by online characteristic
$\gamma$ ray detection technique. The complete fusion (CF) cross sections at
energies above the Coulomb barrier were found to be suppressed by $\sim$ 26 \%
compared to the coupled channel calculations. Reduced fusion cross sections for
the present system at energies normalised to the Coulomb barrier were also
found to be systematically lower than those with strongly bound projectiles
forming a similar compound nucleus. The suppression observed in CF cross
sections is found to be commensurate with the measured total incomplete fusion
(ICF) cross sections. In the ICF cross sections, t capture is found to be
dominant than $\alpha$ capture at all the measured energies. The systematic
study of available CF, ICF and total fusion (TF) data with $^7$Li projectile is
performed.
