Dossena has only made three appearances for Liverpool this season and is widely expected to leave the club.
The Italian is keen to play against Fiorentina in the Champions League on Wednesday.
“I hope to play (against Fiorentina) but the situation is not good, now we will evaluate everything,” he told Gazzetta dello Sport.
“It’s clear that staying on the edge is not good and it might be better to find another solution.”
