City, already eliminated from the competition, travel to Germany looking to secure a consolation place in the Europa League.
They then host Manchester United next Sunday when top spot in the Premier League will be at stake.
Speaking after Saturday's 1-1 home draw with Everton, Hart said: "We move on to the derby now, and we've obviously got Dortmund on Tuesday.
"We've got a tough one in Dortmund. We need to finish the Champions League group with a bit of pride.
"Hopefully we'll get a good result there and we'll get into the derby. We'll deal with that when it comes."
The draw against the Toffees extended City's unbeaten home run in the Premier League to 37 games.
Hart added: "It's a great record - one we need to keep going, but with more wins than draws.
"It was a tough game. It is always going to be tough against Everton. We'd like to win but we haven't lost.
"They are a good team, they work for each other. They have got some good players and a good manager, and all that added together makes them a tough team to play against."