The expansion and definition of a brand is always, to a certain extent, work in progress. this example from Cambridge Dictionary
I want to know why 'on' cannot be used in the sentence.
In my opinion, 'Progress' means that 'Going to the aim', so that 'in' is more correct than 'on' because we cannot see obviously how the progress is going on at least in the sentence. To sum up, I think if we can see obviously how a work is going on, 'on progress' is more appropriate, but if we can't see obviously how a work is going on, 'in progress' is better.
Is my thinking correct?