diff --git a/arch/um/include/os.h b/arch/um/include/os.h
index 548f6ddd8597e1daa53a49f7c52573c9b2ae9b8a..b6c52496e15a3d86e23018f1cc3aa6ff3e55c4da 100644
--- a/arch/um/include/os.h
+++ b/arch/um/include/os.h
@@ -329,7 +329,6 @@ extern void os_set_ioignore(void);
 extern void init_irq_signals(int on_sigstack);
 
 /* sigio.c */
-extern int add_sigio_fd(int fd, int read);
 extern int ignore_sigio_fd(int fd);
 extern void maybe_sigio_broken(int fd, int read);
 
diff --git a/arch/um/kernel/sigio_kern.c b/arch/um/kernel/sigio_kern.c
index 51b67708394850c5da94b29c0df6fe1802fa1d91..5102ba5d5bd08e1b0be8db133f026fb8c6b2e5ca 100644
--- a/arch/um/kernel/sigio_kern.c
+++ b/arch/um/kernel/sigio_kern.c
@@ -53,17 +53,3 @@ void sigio_unlock(void)
 {
 	spin_unlock(&sigio_spinlock);
 }
-
-extern void sigio_cleanup(void);
-__uml_exitcall(sigio_cleanup);
-
-/*
- * Overrides for Emacs so that we follow Linus's tabbing style.
- * Emacs will notice this stuff at the end of the file and automatically
- * adjust the settings for this buffer only.  This must remain at the end
- * of the file.
- * ---------------------------------------------------------------------------
- * Local variables:
- * c-file-style: "linux"
- * End:
- */
diff --git a/arch/um/os-Linux/sigio.c b/arch/um/os-Linux/sigio.c
index d22623e8fcedfad55fe31a4f2ee51f02e59683ca..0ecac563c7b32fccc6cb58ba734b3d794f18b1ab 100644
--- a/arch/um/os-Linux/sigio.c
+++ b/arch/um/os-Linux/sigio.c
@@ -43,13 +43,13 @@ struct pollfds {
 /* Protected by sigio_lock().  Used by the sigio thread, but the UML thread
  * synchronizes with it.
  */
-struct pollfds current_poll = {
+static struct pollfds current_poll = {
 	.poll  		= NULL,
 	.size 		= 0,
 	.used 		= 0
 };
 
-struct pollfds next_poll = {
+static struct pollfds next_poll = {
 	.poll  		= NULL,
 	.size 		= 0,
 	.used 		= 0
@@ -156,7 +156,7 @@ static void update_thread(void)
 	set_signals(flags);
 }
 
-int add_sigio_fd(int fd, int read)
+static int add_sigio_fd(int fd, int read)
 {
 	int err = 0, i, n, events;
 
@@ -333,10 +333,12 @@ void maybe_sigio_broken(int fd, int read)
 	add_sigio_fd(fd, read);
 }
 
-void sigio_cleanup(void)
+static void sigio_cleanup(void)
 {
 	if(write_sigio_pid != -1){
 		os_kill_process(write_sigio_pid, 1);
 		write_sigio_pid = -1;
 	}
 }
+
+__uml_exitcall(sigio_cleanup);