The 61-year-old veteran actor is up for the Best Actor Oscar for his role in the movie and his younger co-star Hailee, 14, has also been nominated for the Best Supporting Actress gong for her role as Mattie Ross.
Speaking about Hailee, he said to Movieline: 'She has a real sweetness and a generosity of spirit, and I think a lot of that, to a large degree comes from how she was raised - the bed she was born in.
'She was very fortunate to have two wonderful parents in Pete and Cheri; they were on the set all the time.
'She has something that I think is kind of rare in most kids in this day and age; most kids who are 13 or 14 years old are really chomping at the bit to start dating and getting in cars and all that stuff.
'Hailee doesn't seem too eager to be older than she is. She's really appreciating her age. And in a very odd way, that makes her more mature. She's very at home in her skin.
'And so that makes her very pleasant to be around; her head is really screwed on right, just as a person.'