diff --git a/tests/suites/test_suite_net.data b/tests/suites/test_suite_net.data
index 98da8d9..4f516c8 100644
--- a/tests/suites/test_suite_net.data
+++ b/tests/suites/test_suite_net.data
@@ -4,3 +4,5 @@
 Context init-free-init-free
 context_init_free:1
 
+net_poll beyond FD_SETSIZE
+poll_beyond_fd_setsize:
diff --git a/tests/suites/test_suite_net.function b/tests/suites/test_suite_net.function
index 03b4bd3..55fabd6 100644
--- a/tests/suites/test_suite_net.function
+++ b/tests/suites/test_suite_net.function
@@ -2,6 +2,50 @@
 
 #include "mbedtls/net_sockets.h"
 
+#if defined(unix) || defined(__unix__) || defined(__unix) || \
+    defined(__APPLE__) || defined(__QNXNTO__) || \
+    defined(__HAIKU__) || defined(__midipix__)
+#define MBEDTLS_PLATFORM_IS_UNIXLIKE
+#endif
+
+#if defined(MBEDTLS_PLATFORM_IS_UNIXLIKE)
+#include <sys/fcntl.h>
+#include <sys/resource.h>
+#include <sys/stat.h>
+#include <sys/time.h>
+#include <sys/types.h>
+#include <unistd.h>
+#endif
+
+
+#if defined(MBEDTLS_PLATFORM_IS_UNIXLIKE)
+/** Open a file on the given file descriptor.
+ *
+ * This is disruptive if there is already something open on that descriptor.
+ * Caller beware.
+ *
+ * \param ctx           An initialized, but unopened socket context.
+ *                      On success, it refers to the opened file (\p wanted_fd).
+ * \param wanted_fd     The desired file descriptor.
+ *
+ * \return              \c 0 on succes, a negative error code on error.
+ */
+static int open_file_on_fd( mbedtls_net_context *ctx, int wanted_fd )
+{
+    int got_fd = open( "/dev/null", O_RDONLY );
+    TEST_ASSERT( got_fd >= 0 );
+    if( got_fd != wanted_fd )
+    {
+        TEST_ASSERT( dup2( got_fd, wanted_fd ) >= 0 );
+        TEST_ASSERT( close( got_fd ) >= 0 );
+    }
+    ctx->fd = wanted_fd;
+    return( 0 );
+exit:
+    return( -1 );
+}
+#endif /* MBEDTLS_PLATFORM_IS_UNIXLIKE */
+
 /* END_HEADER */
 
 /* BEGIN_DEPENDENCIES
@@ -26,3 +70,63 @@
     goto exit;
 }
 /* END_CASE */
+
+/* BEGIN_CASE depends_on:MBEDTLS_PLATFORM_IS_UNIXLIKE */
+void poll_beyond_fd_setsize( )
+{
+    /* Test that mbedtls_net_poll does not misbehave when given a file
+     * descriptor beyond FD_SETSIZE. This code is specific to platforms
+     * with a Unix-like select() function. */
+
+    struct rlimit rlim_nofile;
+    int restore_rlim_nofile = 0;
+    int ret;
+    mbedtls_net_context ctx;
+    uint8_t buf[1];
+
+    mbedtls_net_init( &ctx );
+
+    /* On many systems, by default, the maximum permitted file descriptor
+     * number is less or equal to FD_SETSIZE. If so, raise the limit if
+     * possible.
+     *
+     * If the limit can't be raised, a newly open file descriptor
+     * won't be higher than FD_SETSIZE, so the test is not necessary and we
+     * mark it as skipped.
+     */
+    TEST_ASSERT( getrlimit( RLIMIT_NOFILE, &rlim_nofile ) == 0 );
+    if( rlim_nofile.rlim_cur <= FD_SETSIZE + 1 )
+    {
+        rlim_t old_rlim_cur = rlim_nofile.rlim_cur;
+        rlim_nofile.rlim_cur = FD_SETSIZE + 1;
+        TEST_ASSUME( setrlimit( RLIMIT_NOFILE, &rlim_nofile ) == 0 );
+        rlim_nofile.rlim_cur = old_rlim_cur;
+        restore_rlim_nofile = 1;
+    }
+
+    TEST_ASSERT( open_file_on_fd( &ctx, FD_SETSIZE ) == 0 );
+
+    /* In principle, mbedtls_net_poll() with valid arguments should succeed.
+     * However, we know that on Unix-like platforms (and others), this function
+     * is implemented on top of select() and fd_set, which do not support
+     * file descriptors  beyond FD_SETSIZE. So we expect to hit this platform
+     * limitation.
+     *
+     * If mbedtls_net_poll() does not proprely check that ctx.fd is in range,
+     * it may still happen to return the expected failure code, but if this
+     * is problematic on the particular platform where the code is running,
+     * a memory sanitizer such as UBSan should catch it.
+     */
+    ret = mbedtls_net_poll( &ctx, MBEDTLS_NET_POLL_READ, 0 );
+    TEST_EQUAL( ret, MBEDTLS_ERR_NET_POLL_FAILED );
+
+    /* mbedtls_net_recv_timeout() uses select() and fd_set in the same way. */
+    ret = mbedtls_net_recv_timeout( &ctx, buf, sizeof( buf ), 0 );
+    TEST_EQUAL( ret, MBEDTLS_ERR_NET_POLL_FAILED );
+
+exit:
+    mbedtls_net_free( &ctx );
+    if( restore_rlim_nofile )
+        setrlimit( RLIMIT_NOFILE, &rlim_nofile );
+}
+/* END_CASE */