Fiorentina coach Stefano Pioli hailed the manner of victory over Benevento.
Marco Benassi, Khouma Babacar and a Cyril Thereau penalty secured the win.
“We are satisfied with the performance, but a victory was not to be taken for granted," said Gasperini on Radio Rai.
“It is important that we keep on improving, as there are many situations where we could've done better. We deserved the win and at times played with quality.
“I introduced Babacar in the second half because Giovanni Simeone had worked hard and was not very sharp, plus we've got Torino coming up on Wednesday and want to be ready."