Use the adjective engrossed to describe someone who is completely absorbed in something, whether it's a task, a person, or an object. You might be engrossed in a movie that's so good you just can't look away, or you can be engrossed in talking to someone — like the girl from math class.
Is engrossed a negative word?
I would say that, in general, "engrossing" has a slightly positive shade - "the film was engrossing" - whereas "consuming", usually preceded by the word "time", imparts a slightly negative quality, "that was very time consuming, I could have been doing something else instead". "Absorbing" is also generally positive.
Does engrossed mean Interested?
Meaning of engrossed in English
giving all your attention to something: She was so engrossed by/in the book that she forgot the cookies in the oven. They were so engrossed in/with what they were doing that they didn't hear me come in. interestedI've always been interested in the origins of blues music.