The Germany international is dreaming of defending the European crown with Bayern Munich, and expects to be back to full fitness following an injury-hit start to the 2013-14 season
The Gunners face the reigning champions in the first game of a two-legged tie on February 19 at the Emirates Stadium.
Arsene Wenger's side sit top of the Premier League table, but Schweinsteiger is hoping Bayern will be the first side to successfully defend the trophy with the competition in its current format.
"I want to achieve what no team has ever achieved," he told reporters. "I want to defend the Champions League title.
"We had an incredible year in 2013. However, the great thing about football is that there are always areas of our play we can improve."
The 29-year-old midfielder has been out with an ankle injury, but is expecting an imminent return to full fitness.
He added: "I’m confident it won't be too long until I can return to full duty. I'm happy with how it feels at the moment, and I’m confident it’ll get even better.
"I know the qualities I have when I’m fully fit. It's reassuring and keeping me calm through all of this."
Schweinsteiger last featured for Bayern in a Champions League tie against Viktoria Plzen early in November.