keep somebody posted
keep somebody updated

I'll try to keep you updated if I can find another source.

My office will be in contact throughout the process to keep you updated.

We'll keep you updated if anything else happens before Tuesday.

Bit of mystery there: we'll keep you updated as we learn more.

Make sure you keep updating the news on every second of your delivery and after.

After all those changes, at least one more is coming, so keep the resumes updated.

Till the end of his life he kept updating it.

"Officers have been working closely with local residents to keep them updated."

So, as always, keep Windows updated and you'll be okay.

We will continue to keep you updated via this website.