Looking on the internet deeply has found these results:

I will keep you posted on the progress is the most popular phrase on the web.

I will keep you posted with the progress 18,630 results on the web	I will keep you posted on the progress 136,400 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Keep me posted on any progress. His condition is critical, but we will keep you posted as we get updates. We will keep you posted with future developments The agents that are with you will keep you posted on what to do. I'll keep you posted with any developments. As soon as I run that past the captain, I will keep you posted. Keep you posted with whatever I know. We will keep you posted as to any further developments... in what seems to be yet another rock	Okay, why don't you think about anyone that would have wanted to breach your simulation, and we'll keep you posted on what we find. So I'll keep you posted on that. We'll keep you posted on Gotham's richest and best looking native son. I'll keep you posted on what's going down with that officer that beat your friend. Keep me posted on any progress. As soon as I run that past the captain, I will keep you posted. The agents that are with you will keep you posted on what to do. We'll keep you posted on significant developments.

I will keep you posted with the progress

18,630 results on the web

I will keep you posted on the progress

136,400 results on the web

More popular!

Keep me posted on any progress.
His condition is critical, but we will keep you posted as we get updates.
We will keep you posted with future developments
The agents that are with you will keep you posted on what to do.
I'll keep you posted with any developments.
As soon as I run that past the captain, I will keep you posted.
Keep you posted with whatever I know.
We will keep you posted as to any further developments... in what seems to be yet another rock

Okay, why don't you think about anyone that would have wanted to breach your simulation, and we'll keep you posted on what we find.
So I'll keep you posted on that.
We'll keep you posted on Gotham's richest and best looking native son.
I'll keep you posted on what's going down with that officer that beat your friend.
Keep me posted on any progress.
As soon as I run that past the captain, I will keep you posted.
The agents that are with you will keep you posted on what to do.
We'll keep you posted on significant developments.