Regarding the reigning Premier League champions' hopes of progressing from the group stage, Albrighton feels things are set up well for a berth in the second phase of the tournament.
"We've given ourselves a great chance," he said.
"We have four tough games coming up and if we win our home games then I think we'll qualify. It's a long way in the future but that's definitely our aim.
"We said before the competition started we needed to make this place a fortress and we certainly showed that against a top Porto side and hopefully we can do it against Copenhagen.
"It's a great record to have (being the first English club to win their opening two Champions League games) and we have given ourselves the best possible opportunity and we want to go far in the competition."
Leicester will next meet Danish champ FC Copenhagen, who beat Brugge 4-0 on Tuesday, at the King Power Stadium on October 18.