Klose, who turns 34 on Saturday, has been linked with a return to the Bundesliga after just one year in Serie A.
The German forward joined Lazio last summer as a free agent and signed a contract with the Italian outfit until June 2014.
"Klose will remain at Lazio," Tare told Corriere dello Sport. "He has two years left in his contract and he is happy to remain at the Biancoceleste club."
Klose scored 13 goals in 27 league appearances for Lazio last season.