The 34-year-old striker signed a five-month deal with the Serie A giants in February after cutting short his contract at Sunderland.
Despite making just two substitute appearances since joining the club, Saha has said that he wants to extend his stay in Italy.
"It is an unexpected adventure," he told L'Equipe. "After playing most of my career in the Premiership, it is not easy to join a different league with a foreign language.
"But I have a lot of fun during training sessions and enjoy every minute on the pitch. There is a lot of competition but it's a long season.
"I want to prolong this adventure here and play in that level of competition, it would be good for me to score about 10 goals."
Lazio are currently fifth in the Serie A table, one point adrift of the Champions League places.