"I don't feel we have a lot of competition. I'm really confident," Rumer toldGood Morning America.
"I think that the heart that both of us have and will put into each dance, regardless of the scores -- to me, at least -- was most important."
Rumer apparently believes the show's first gold mirrorball trophy is hers to lose following her well-received foxtrot performance.
"I have high standards for myself, which I think is great but, you know, I think, sometimes they can block you from reaching a higher potential. But I think it's always good to strive to be better," Rumer said, adding that her parents were shaking because they were "ecstatic" and "super excited" in the ballroom.
"She's very talented. She's got great genes. She works very hard," Val told GMA. "If I can make the family proud, I'm very, very satisfied."
The next Dancing with the Stars episode airs Monday, March 23 at 8PM ET/PT on ABC and will feature one couple getting eliminated based on the combination of judges' scores and home viewer votes from the first Season 20 broadcast.
If a celebrity and professional pairing's ouster was solely based on the judges' leaderboard, singer/deejay RedFoo and actress/model Charlotte McKinney would be in trouble since they tied at the very bottom with 22 points.
RedFoo is paired with pro Emma Slater, and Charlotte dances with pro Keo Motsepe.