diff --git a/Misc/NEWS b/Misc/NEWS
index c8a43b5..2d78412 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -10,6 +10,9 @@
 Core and Builtins
 -----------------
 
+- Issue #10095: fp_setreadl() doesn't reopen the file, reuse instead the file
+  descriptor.
+
 - Issue #9418: Moved private string methods ``_formatter_parser`` and
   ``_formatter_field_name_split`` into a new ``_string`` module.
 
diff --git a/Parser/tokenizer.c b/Parser/tokenizer.c
index 90b1b68..28dcea1 100644
--- a/Parser/tokenizer.c
+++ b/Parser/tokenizer.c
@@ -462,17 +462,20 @@
 fp_setreadl(struct tok_state *tok, const char* enc)
 {
     PyObject *readline = NULL, *stream = NULL, *io = NULL;
+    int fd;
 
     io = PyImport_ImportModuleNoBlock("io");
     if (io == NULL)
         goto cleanup;
 
-    if (tok->filename)
-        stream = PyObject_CallMethod(io, "open", "ssis",
-                                     tok->filename, "r", -1, enc);
-    else
-        stream = PyObject_CallMethod(io, "open", "isisOOO",
-                        fileno(tok->fp), "r", -1, enc, Py_None, Py_None, Py_False);
+    fd = fileno(tok->fp);
+    if (lseek(fd, 0, SEEK_SET) == (off_t)-1) {
+        PyErr_SetFromErrnoWithFilename(PyExc_OSError, NULL);
+        goto cleanup;
+    }
+
+    stream = PyObject_CallMethod(io, "open", "isisOOO",
+                    fd, "r", -1, enc, Py_None, Py_None, Py_False);
     if (stream == NULL)
         goto cleanup;
 
diff --git a/Parser/tokenizer.h b/Parser/tokenizer.h
index c8e19c1..d9866f6 100644
--- a/Parser/tokenizer.h
+++ b/Parser/tokenizer.h
@@ -53,7 +53,7 @@
     int cont_line;          /* whether we are in a continuation line. */
     const char* line_start;     /* pointer to start of current line */
 #ifndef PGEN
-    PyObject *decoding_readline; /* codecs.open(...).readline */
+    PyObject *decoding_readline; /* open(...).readline */
     PyObject *decoding_buffer;
 #endif
     const char* enc;        /* Encoding for the current str. */