"in some work" is correct and usable in written English.
You can use it to refer to a task or a project someone is involved in. For example: "John has been busy in some work this past week."
It was time to start putting in some work.
I still had to put in some work of my own.
You have to put in some work before that," Lee said in a prepared statement.
To have fun on a computer (and it was fun) you had to put in some work.
He kept London hours -- up at 3 a.m., but home by 5 p.m., in time to put in some work building shelves and toy boxes for Zachary's new playroom.
So he apprenticed himself to a taxidermist in Conway, Ark., and when he and his wife moved to Romance a little over 10 years ago, he turned the outbuilding on their new property into a workshop for his taxidermy projects, also taking in some work from other people.
His early-season stumbles have him being skewered in this video, and then, after his first really good game of the season, Bosh appears on camera to bemoan Coach Eric Spoelstra's actually expecting the Big Three to put in some work.
Clearly, to sign on a true brand ambassador, rather than a one-time endorser, you will need to put in some work as well.
The Payoff: The celebrity gets 5% to 10% of wholesale revenues in return for the use of his or her name and putting in some work like department store appearances.
Or he might be in Los Angeles, putting in some work on Salva's album.
And that goes further than saying "I'm an advocate for a trans person," you actually have to put in some work.
