keep someone posted

US /kiːp ˈsʌm.wʌn ˈpoʊ.stɪd/
UK /kiːp ˈsʌm.wʌn ˈpoʊ.stɪd/
"keep someone posted" picture
1.

to regularly give someone the most recent information about something

:
Please keep me posted on your progress with the project.
I'll keep you posted if anything changes.