Collocations for preoccupied - adj.

appear, be, look, seem
become
remain

extremely, fairly, very, etc.
deeply
completely, entirely, totally
increasingly
overly, too
He was too preoccupied to notice.

a little, slightly, etc.

by
We live in a world preoccupied by sport.

with
He was too preoccupied with his own problems to worry about hers.