Despite being 38, the Italian signed a one-year contract extension in the summer and has performed well in Europe.
"My contract is running out at the end of the season. At 38, year by year, you try to deserve a new contract so that's what I'm trying to do," said Cudicini, who will start in goal for Spurs in their Group A clash against PAOK Salonika on Wednesday night.
"I still have the motivation to try to get into the first team. If you don't have that at 38 it's better for you to play golf every day instead. You need to have that motivation.
"I am happy here. Of course everyone would like to play more games but I can be happy, I have everything."