The Dane stated this week that he was waiting for the club to appease his demands.
Eriksen's current contract expires in 2020 and Pochettino believes he can count on him to perform until then.
He said: "We hope that he can be here for a long time.
"I think Christian is a fantastic player. I was in Copenhagen in the summer and spent a good time with my wife, and Christian, in a very nice restaurant!
"We hope that Christian can commit to the club with a long-term contract - but in football business it is about timings and negotiations.
"He is ready to wait. Maybe sign this week, maybe sign in six months.
"For me, it is not a point to discuss. He is very committed with us and he is playing so well. He is a great player and I am so happy with him.
"He is a special person and you need to give him some freedom on the pitch.
"You cannot put him in a box to play, you need to give freedom and trust in him.
"It's like my dog in the park - I say, 'go, I trust in you!'. Christian, you need to trust in him.
"There is going to be a decision, and I hope he will commit to the club for the long term."