The City boss saw his side record a seventh successive victory at the King Power Stadium on Saturday as Bournemouth were beaten 2-1 in the Sky Bet Championship - a result which saw Leicester move up to second place in the table.
In eight games in front of the Foxes faithful in all competitions this season only Leeds, with a goalless draw in August, have returned home unbeaten.
Ahead of the visit of Martin Jol's team on Tuesday night, Pearson said: "I think in any cup draw you always hope for a home tie.
"A home tie gives you an advantage and against a Premier League side you might argue that it could level the playing field a little.
"Being strong at home is important to us. I think being strong at home gives you a solid foundation for what you hope to achieve in a season.
"Our home results have been very good so far. We want to continue our run of results at home, of course, and the team I put out on the pitch will reflect that."
Pearson is planning to make changes to his starting line-up for the fourth-round tie, although there will not be a radical overhaul.
The 50-year-old made eight changes against Derby in the previous round but said that will not be the case on Tuesday.
"It won't be wholesale changes like last time, we will just tweak it a little bit," said Pearson.
"Even before the weekend, I had made the decision to make one or two changes. We have got some players who need some pitch time and it has always been my intention to freshen it up somewhat.
"I don't think we will go into the game with a weakened side at all.
"I don't quite understand some people's ideas that it is deemed to be tinkering or weakening the side. I don't see that and I have every confidence in my players.
"Tinker is the wrong word, that suggests that we don't take it seriously and we are playing with it. That is not the case.
"We have got some real competition for places, which is healthy, and I don't think there will be any weakness if we make changes. I know we will have a strong side out."