Near-barrier fusion of weakly bound<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:math>nuclei with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>59</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Co</mml:mi></mml:math>

Excitation functions for sub- and near-barrier total (complete + incomplete) fusion cross sections are presented for the ${}^{6,7}\mathrm{Li}{+}^{59}\mathrm{Co}$ reactions. Evaporation residues were identified by their characteristic $\ensuremath{\gamma}$ rays and the corresponding yields measured with both the IReS Garel $+$ array at the Vivitron facility and with the S\~ao Paulo Ge array at the 8UD Pelletron tandem facility using standard \ensuremath{\gamma}-ray techniques. The data extend to medium-mass systems previous works exploring the coupling effects (hindrance versus enhancement) in fusion reactions of both lighter and heavier systems. The results indicate a small enhancement of total fusion for the more weakly bound ${}^{6}\mathrm{Li}$ at sub-barrier energies, with similar cross sections for both reactions at and above the barrier.