I\'m switching my development environment from Eclipse to Android Studio these days. And I really enjoy its autocompletion and many other features this IDE provide. However, I h
As far as I know, currently (Android Studio 2.3) there is no way to do this.
As per Android Studio documentation:
"Note: Only one debugger can be connected to your device at a time."
When you attempt to connect Android Device Monitor it disconnects Android Studio's debug session and vice versa, when you attempt to connect Android Studio's debugger, it disconnects Android Device Monitor.
Fortunately the new version of Android Studio (3.0) will feature a Device File Explorer that will allow you to pull files from within Android Studio without the need to open the Android Device Monitor which should resolve the problem.