+2  A: 

I think there is no direct way, because of the way screen works. However screen can display its own status bar, that you can define in .screenrc. Here's mine for instance :

hardstatus alwayslastline
 hardstatus string '%{= kG}[ %{G}%H %{g}][%=%{=kw}%?%-Lw%?%{r}(%{W}%n*%f%t%?(%u)%?%{r})%{w}%?%+Lw%?%?%= %{g}][%{B}%Y-%m-%d %{W}%c %{g}]'
wazoox
If instead of %t %h is used, then the sequence from the OP will show on the hardstatus
njsf