Tailing log files in two different hosts

I'm trying to tail two log files in different hosts and use the merged output as a single one.

ssh HOST_1 "tail -f MY_LOG_FILE"

I'm also using mkfifo to create a named pipe.

mkfifo MY_PIPE

The problem is. Outputting a local command to MY_PIPE works fine, but when I output my ssh command nothing can be read on the named pipe (tail -f MY_NAMED_PIPE in another terminal)

mkfifo MY_PIPE

ssh HOST_1 "tail -f MY_LOG_FILE" > MY_NAMED_PIPE

The commands above generate no output on the pipe.

Is there any parameter to ssh command to pipe it correctly?

Is there another way to pipe it?