diff --git a/library/std/src/sys/unix/fs.rs b/library/std/src/sys/unix/fs.rs
index aea0c26ee8b..0e7d23a5c7c 100644
--- a/library/std/src/sys/unix/fs.rs
+++ b/library/std/src/sys/unix/fs.rs
@@ -149,12 +149,13 @@ unsafe fn try_statx(
     ) -> Option<io::Result<FileAttr>> {
         use crate::sync::atomic::{AtomicU8, Ordering};
 
-        // Linux kernel prior to 4.11 or glibc prior to glibc 2.28 don't support `statx`
-        // We store the availability in global to avoid unnecessary syscalls.
-        // 0: Unknown
-        // 1: Not available
-        // 2: Available
-        static STATX_STATE: AtomicU8 = AtomicU8::new(0);
+        // Linux kernel prior to 4.11 or glibc prior to glibc 2.28 don't support `statx`.
+        // We check for it on first failure and remember availability to avoid having to
+        // do it again.
+        #[repr(u8)]
+        enum STATX_STATE{ Unknown = 0, Present, Unavailable }
+        static STATX_SAVED_STATE: AtomicU8 = AtomicU8::new(STATX_STATE::Unknown as u8);
+
         syscall! {
             fn statx(
                 fd: c_int,
@@ -165,31 +166,44 @@ fn statx(
             ) -> c_int
         }
 
-        match STATX_STATE.load(Ordering::Relaxed) {
-            0 => {
-                // It is a trick to call `statx` with null pointers to check if the syscall
-                // is available. According to the manual, it is expected to fail with EFAULT.
-                // We do this mainly for performance, since it is nearly hundreds times
-                // faster than a normal successful call.
-                let err = cvt(statx(0, ptr::null(), 0, libc::STATX_ALL, ptr::null_mut()))
-                    .err()
-                    .and_then(|e| e.raw_os_error());
-                // We don't check `err == Some(libc::ENOSYS)` because the syscall may be limited
-                // and returns `EPERM`. Listing all possible errors seems not a good idea.
-                // See: https://github.com/rust-lang/rust/issues/65662
-                if err != Some(libc::EFAULT) {
-                    STATX_STATE.store(1, Ordering::Relaxed);
-                    return None;
-                }
-                STATX_STATE.store(2, Ordering::Relaxed);
-            }
-            1 => return None,
-            _ => {}
+        if STATX_SAVED_STATE.load(Ordering::Relaxed) == STATX_STATE::Unavailable as u8 {
+            return None;
         }
 
         let mut buf: libc::statx = mem::zeroed();
         if let Err(err) = cvt(statx(fd, path, flags, mask, &mut buf)) {
-            return Some(Err(err));
+            if STATX_SAVED_STATE.load(Ordering::Relaxed) == STATX_STATE::Present as u8 {
+                return Some(Err(err));
+            }
+
+            // Availability not checked yet.
+            //
+            // First try the cheap way.
+            if err.raw_os_error() == Some(libc::ENOSYS) {
+                STATX_SAVED_STATE.store(STATX_STATE::Unavailable as u8, Ordering::Relaxed);
+                return None;
+            }
+
+            // Error other than `ENOSYS` is not a good enough indicator -- it is
+            // known that `EPERM` can be returned as a result of using seccomp to
+            // block the syscall.
+            // Availability is checked by performing a call which expects `EFAULT`
+            // if the syscall is usable.
+            // See: https://github.com/rust-lang/rust/issues/65662
+            // FIXME this can probably just do the call if `EPERM` was received, but
+            // previous iteration of the code checked it for all errors and for now
+            // this is retained.
+            // FIXME what about transient conditions like `ENOMEM`?
+            let err2 = cvt(statx(0, ptr::null(), 0, libc::STATX_ALL, ptr::null_mut()))
+                .err()
+                .and_then(|e| e.raw_os_error());
+            if err2 == Some(libc::EFAULT) {
+                STATX_SAVED_STATE.store(STATX_STATE::Present as u8, Ordering::Relaxed);
+                return Some(Err(err));
+            } else {
+                STATX_SAVED_STATE.store(STATX_STATE::Unavailable as u8, Ordering::Relaxed);
+                return None;
+            }
         }
 
         // We cannot fill `stat64` exhaustively because of private padding fields.