The club were expected to shift into their new home last August but the move has not yet materialised due to construction delays.
"I was talking yesterday with (chairman) Daniel Levy and he was positive," Pochettino told reporters after his team beat Borussia Dortmund 1-0 in Germany on Tuesday to advance to the quarter-finals 4-0 on aggregate.
"We were listening to the Champions League song. It'll be amazing to be in the new stadium listening to that song before the game. Now we're in the quarter-finals I hope we can finish and can listen to the song there.
"I expect to play in the new stadium. The wish is to play."
Spurs will discover who their quarter-final opponents are when the draw is made on March 15, with the two-legged tie to be held in the second and third weeks of April.
(Reporting by Shrivathsa Sridhar in Bengaluru; Editing by)
