diff --git a/src/binfmt/binfmt.c b/src/binfmt/binfmt.c
index 36e1d5d135d..88af4e8699e 100644
--- a/src/binfmt/binfmt.c
+++ b/src/binfmt/binfmt.c
@@ -193,10 +193,10 @@ static int parse_argv(int argc, char *argv[]) {
         return 1;
 }
 
-static int binfmt_mounted_warn(void) {
+static int binfmt_mounted_and_writable_warn(void) {
         int r;
 
-        r = binfmt_mounted();
+        r = binfmt_mounted_and_writable();
         if (r < 0)
                 return log_error_errno(r, "Failed to check if /proc/sys/fs/binfmt_misc is mounted: %m");
         if (r == 0)
@@ -222,7 +222,7 @@ static int run(int argc, char *argv[]) {
                 return disable_binfmt();
 
         if (argc > optind) {
-                r = binfmt_mounted_warn();
+                r = binfmt_mounted_and_writable_warn();
                 if (r <= 0)
                         return r;
 
@@ -239,7 +239,7 @@ static int run(int argc, char *argv[]) {
                 if (arg_cat_flags != CAT_CONFIG_OFF)
                         return cat_config(files);
 
-                r = binfmt_mounted_warn();
+                r = binfmt_mounted_and_writable_warn();
                 if (r <= 0)
                         return r;
 
diff --git a/src/shared/binfmt-util.c b/src/shared/binfmt-util.c
index 49d920c2925..d5bf96bbdca 100644
--- a/src/shared/binfmt-util.c
+++ b/src/shared/binfmt-util.c
@@ -11,7 +11,7 @@
 #include "missing_magic.h"
 #include "stat-util.h"
 
-int binfmt_mounted(void) {
+int binfmt_mounted_and_writable(void) {
         _cleanup_close_ int fd = -EBADF;
         int r;
 
@@ -43,7 +43,7 @@ int disable_binfmt(void) {
          * We are a bit careful here, since binfmt_misc might still be an autofs which we don't want to
          * trigger. */
 
-        r = binfmt_mounted();
+        r = binfmt_mounted_and_writable();
         if (r < 0)
                 return log_warning_errno(r, "Failed to determine whether binfmt_misc is mounted: %m");
         if (r == 0) {
diff --git a/src/shared/binfmt-util.h b/src/shared/binfmt-util.h
index 13f4548b7ce..f578854011b 100644
--- a/src/shared/binfmt-util.h
+++ b/src/shared/binfmt-util.h
@@ -1,5 +1,5 @@
 /* SPDX-License-Identifier: LGPL-2.1-or-later */
 #pragma once
 
-int binfmt_mounted(void);
+int binfmt_mounted_and_writable(void);
 int disable_binfmt(void);
diff --git a/src/test/test-binfmt-util.c b/src/test/test-binfmt-util.c
index 7027efc5195..63d777e1624 100644
--- a/src/test/test-binfmt-util.c
+++ b/src/test/test-binfmt-util.c
@@ -3,8 +3,8 @@
 #include "binfmt-util.h"
 #include "tests.h"
 
-TEST(binfmt_mounted) {
-        ASSERT_OK(binfmt_mounted());
+TEST(binfmt_mounted_and_writable) {
+        ASSERT_OK(binfmt_mounted_and_writable());
 }
 
 DEFINE_TEST_MAIN(LOG_DEBUG);