into has a lot of meanings. I normally use it when I mean to go inside:
into: to the inside or middle of a place, container, area, etc.
Let's go into the garden. Cambridge Dictionary
I saw the following example on one of Oxford conversation videos
I don't fancy of driving back tonight. Why don't we stay near here then we can go straight into work tomorrow.
We don't go inside the work, we go to the work.
So, Is it common to use into with work?