diff --git a/regression/cbmc-library/syscall-01/main.c b/regression/cbmc-library/syscall-01/main.c
new file mode 100644
index 00000000000..9bd79f458a3
--- /dev/null
+++ b/regression/cbmc-library/syscall-01/main.c
@@ -0,0 +1,13 @@
+#include <sys/syscall.h>
+
+#include <assert.h>
+#include <errno.h>
+#include <unistd.h>
+
+int main()
+{
+  long int rc;
+  errno = 0;
+  rc = syscall(SYS_chmod, "/etc/passwd", 0444);
+  assert(!(rc != -1) || (errno == 0));
+}
diff --git a/regression/cbmc-library/syscall-01/test.desc b/regression/cbmc-library/syscall-01/test.desc
new file mode 100644
index 00000000000..49ac2538e33
--- /dev/null
+++ b/regression/cbmc-library/syscall-01/test.desc
@@ -0,0 +1,10 @@
+CORE unix
+main.c
+--pointer-check --bounds-check --conversion-check
+^\[main.assertion.\d+\] line \d+ assertion !\(rc != -1\) || \(errno == 0\): SUCCESS$
+^\*\* 1 of \d+ failed .*$
+^VERIFICATION SUCCESSFUL$
+^EXIT=0$
+^SIGNAL=0$
+--
+^\*\*\*\* WARNING: no body for function syscall
diff --git a/src/ansi-c/library/unistd.c b/src/ansi-c/library/unistd.c
index f9f26267b8b..aebc67fff5e 100644
--- a/src/ansi-c/library/unistd.c
+++ b/src/ansi-c/library/unistd.c
@@ -385,3 +385,51 @@ __CPROVER_HIDE:;
   // Thus, modelling it as non-deterministic.
   return retval;
 }
+
+/* FUNCTION: syscall */
+
+#ifndef __CPROVER_ERRNO_H_INCLUDED
+#  include <errno.h>
+#  define __CPROVER_ERRNO_H_INCLUDED
+#endif
+
+long int __VERIFIER_nondet_long_int(void);
+int __VERIFIER_nondet_int(void);
+
+// This overapproximation is based on the syscall specification available at
+// https://man7.org/linux/man-pages/man2/syscall.2.html and
+// https://www.gnu.org/software/libc/manual/html_node/System-Calls.html.
+//
+// sysno is the system call number. The remaining arguments are the arguments
+// for the system call. Each kind of system call has a definite number of
+// arguments, from zero to five. If you code more arguments than the system
+// call takes, the extra ones to the right are ignored.
+#ifdef __APPLE__
+int syscall(int sysno, ...);
+int syscall(int sysno, ...)
+#else
+long int syscall(long int sysno, ...);
+long int syscall(long int sysno, ...)
+#endif
+{
+__CPROVER_HIDE:;
+  (void)sysno;
+
+#ifdef __APPLE__
+  int retval = __VERIFIER_nondet_int();
+#else
+  long int retval = __VERIFIER_nondet_long_int();
+#endif
+
+  if(retval == -1)
+  {
+    // We should keep errno as non-deterministic as possible, since this model
+    // never takes into account any input.
+    errno = __VERIFIER_nondet_int();
+  }
+
+  // The return value is the return value from the system call, unless the
+  // system call failed. This over-approximation doesn't take into account
+  // any system call operation, so we leave the return value as non-det.
+  return retval;
+}