The former West Ham man admits that he hopes to see the Anfield player return to Serie A, whilst admitting that pre-season in Italy is 'very different' to England
Aquilani’s future on Merseyside remains uncertain after a tough time settling in England following his £20 million move from Roma in 2009.
After spending last season on loan at Juventus many thought Aquilani would make a permanent return to Serie A, and Behrami would relish the chance to line-up alongside the 27 year-old.
"Aquilani to Fiorentina? He has excellent qualities," Behrami told reporters.
"With him I'm sure we could make a quantum leap."
The Swiss midfielder returned to Italy in January from West Ham after finding his first team opportunities limited having struggled with a series of injuries, and he admitted his first pre-season at Fiorentina was something of a culture shock.
"We are working hard on the physical level," he added.
"The preparation is very different from England.
"It has been three years since I worked so much in the pre-season and I'm no longer used [to it]."