diff --git a/Modules/_ssl.c b/Modules/_ssl.c
index 8612b3dd53924c..7c8f4225d178aa 100644
--- a/Modules/_ssl.c
+++ b/Modules/_ssl.c
@@ -6118,22 +6118,22 @@ sslmodule_init_versioninfo(PyObject *m)
     */
     libver = OpenSSL_version_num();
     r = PyLong_FromUnsignedLong(libver);
-    if (r == NULL || PyModule_AddObject(m, "OPENSSL_VERSION_NUMBER", r))
+    if (PyModule_Add(m, "OPENSSL_VERSION_NUMBER", r) < 0)
         return -1;
 
     parse_openssl_version(libver, &major, &minor, &fix, &patch, &status);
     r = Py_BuildValue("IIIII", major, minor, fix, patch, status);
-    if (r == NULL || PyModule_AddObject(m, "OPENSSL_VERSION_INFO", r))
+    if (PyModule_Add(m, "OPENSSL_VERSION_INFO", r) < 0)
         return -1;
 
     r = PyUnicode_FromString(OpenSSL_version(OPENSSL_VERSION));
-    if (r == NULL || PyModule_AddObject(m, "OPENSSL_VERSION", r))
+    if (PyModule_Add(m, "OPENSSL_VERSION", r) < 0)
         return -1;
 
     libver = OPENSSL_VERSION_NUMBER;
     parse_openssl_version(libver, &major, &minor, &fix, &patch, &status);
     r = Py_BuildValue("IIIII", major, minor, fix, patch, status);
-    if (r == NULL || PyModule_AddObject(m, "_OPENSSL_API_VERSION", r))
+    if (PyModule_Add(m, "_OPENSSL_API_VERSION", r) < 0)
         return -1;
 
     return 0;
diff --git a/Modules/_stat.c b/Modules/_stat.c
index 9747d848cbacb8..6cea26175dee5e 100644
--- a/Modules/_stat.c
+++ b/Modules/_stat.c
@@ -591,17 +591,17 @@ stat_exec(PyObject *module)
     ADD_INT_MACRO(module, FILE_ATTRIBUTE_TEMPORARY);
     ADD_INT_MACRO(module, FILE_ATTRIBUTE_VIRTUAL);
 
-    if (PyModule_AddObject(module, "IO_REPARSE_TAG_SYMLINK",
-                           PyLong_FromUnsignedLong(IO_REPARSE_TAG_SYMLINK)) < 0) {
-            return -1;
+    if (PyModule_Add(module, "IO_REPARSE_TAG_SYMLINK",
+            PyLong_FromUnsignedLong(IO_REPARSE_TAG_SYMLINK)) < 0) {
+        return -1;
     }
-    if (PyModule_AddObject(module, "IO_REPARSE_TAG_MOUNT_POINT",
-                           PyLong_FromUnsignedLong(IO_REPARSE_TAG_MOUNT_POINT)) < 0) {
-            return -1;
+    if (PyModule_Add(module, "IO_REPARSE_TAG_MOUNT_POINT",
+            PyLong_FromUnsignedLong(IO_REPARSE_TAG_MOUNT_POINT)) < 0) {
+        return -1;
     }
-    if (PyModule_AddObject(module, "IO_REPARSE_TAG_APPEXECLINK",
-                           PyLong_FromUnsignedLong(IO_REPARSE_TAG_APPEXECLINK)) < 0) {
-            return -1;
+    if (PyModule_Add(module, "IO_REPARSE_TAG_APPEXECLINK",
+            PyLong_FromUnsignedLong(IO_REPARSE_TAG_APPEXECLINK)) < 0) {
+        return -1;
     }
 #endif
 
diff --git a/Modules/_testinternalcapi.c b/Modules/_testinternalcapi.c
index 271ad6cfcaee32..74c932fa921cd0 100644
--- a/Modules/_testinternalcapi.c
+++ b/Modules/_testinternalcapi.c
@@ -1511,13 +1511,13 @@ static PyMethodDef module_functions[] = {
 static int
 module_exec(PyObject *module)
 {
-    if (PyModule_AddObject(module, "SIZEOF_PYGC_HEAD",
-                           PyLong_FromSsize_t(sizeof(PyGC_Head))) < 0) {
+    if (PyModule_Add(module, "SIZEOF_PYGC_HEAD",
+                        PyLong_FromSsize_t(sizeof(PyGC_Head))) < 0) {
         return 1;
     }
 
-    if (PyModule_AddObject(module, "SIZEOF_TIME_T",
-                           PyLong_FromSsize_t(sizeof(time_t))) < 0) {
+    if (PyModule_Add(module, "SIZEOF_TIME_T",
+                        PyLong_FromSsize_t(sizeof(time_t))) < 0) {
         return 1;
     }
 
diff --git a/Modules/_threadmodule.c b/Modules/_threadmodule.c
index 82393309b67039..d8a797f34dbc4b 100644
--- a/Modules/_threadmodule.c
+++ b/Modules/_threadmodule.c
@@ -1671,8 +1671,8 @@ thread_module_exec(PyObject *module)
     // Round towards minus infinity
     timeout_max = floor(timeout_max);
 
-    if (PyModule_AddObject(module, "TIMEOUT_MAX",
-                           PyFloat_FromDouble(timeout_max)) < 0) {
+    if (PyModule_Add(module, "TIMEOUT_MAX",
+                        PyFloat_FromDouble(timeout_max)) < 0) {
         return -1;
     }
 
diff --git a/Modules/cmathmodule.c b/Modules/cmathmodule.c
index db8b321e72e8ce..57bc55632be485 100644
--- a/Modules/cmathmodule.c
+++ b/Modules/cmathmodule.c
@@ -1217,30 +1217,29 @@ static PyMethodDef cmath_methods[] = {
 static int
 cmath_exec(PyObject *mod)
 {
-    if (PyModule_AddObject(mod, "pi", PyFloat_FromDouble(Py_MATH_PI)) < 0) {
+    if (PyModule_Add(mod, "pi", PyFloat_FromDouble(Py_MATH_PI)) < 0) {
         return -1;
     }
-    if (PyModule_AddObject(mod, "e", PyFloat_FromDouble(Py_MATH_E)) < 0) {
+    if (PyModule_Add(mod, "e", PyFloat_FromDouble(Py_MATH_E)) < 0) {
         return -1;
     }
     // 2pi
-    if (PyModule_AddObject(mod, "tau", PyFloat_FromDouble(Py_MATH_TAU)) < 0) {
+    if (PyModule_Add(mod, "tau", PyFloat_FromDouble(Py_MATH_TAU)) < 0) {
         return -1;
     }
-    if (PyModule_AddObject(mod, "inf", PyFloat_FromDouble(Py_INFINITY)) < 0) {
+    if (PyModule_Add(mod, "inf", PyFloat_FromDouble(Py_INFINITY)) < 0) {
         return -1;
     }
 
     Py_complex infj = {0.0, Py_INFINITY};
-    if (PyModule_AddObject(mod, "infj",
-                           PyComplex_FromCComplex(infj)) < 0) {
+    if (PyModule_Add(mod, "infj", PyComplex_FromCComplex(infj)) < 0) {
         return -1;
     }
-    if (PyModule_AddObject(mod, "nan", PyFloat_FromDouble(fabs(Py_NAN))) < 0) {
+    if (PyModule_Add(mod, "nan", PyFloat_FromDouble(fabs(Py_NAN))) < 0) {
         return -1;
     }
     Py_complex nanj = {0.0, fabs(Py_NAN)};
-    if (PyModule_AddObject(mod, "nanj", PyComplex_FromCComplex(nanj)) < 0) {
+    if (PyModule_Add(mod, "nanj", PyComplex_FromCComplex(nanj)) < 0) {
         return -1;
     }
 
diff --git a/Modules/mathmodule.c b/Modules/mathmodule.c
index f5679fe3a6f362..0d238c086ac78f 100644
--- a/Modules/mathmodule.c
+++ b/Modules/mathmodule.c
@@ -4037,20 +4037,20 @@ math_exec(PyObject *module)
     if (state->str___trunc__ == NULL) {
         return -1;
     }
-    if (PyModule_AddObject(module, "pi", PyFloat_FromDouble(Py_MATH_PI)) < 0) {
+    if (PyModule_Add(module, "pi", PyFloat_FromDouble(Py_MATH_PI)) < 0) {
         return -1;
     }
-    if (PyModule_AddObject(module, "e", PyFloat_FromDouble(Py_MATH_E)) < 0) {
+    if (PyModule_Add(module, "e", PyFloat_FromDouble(Py_MATH_E)) < 0) {
         return -1;
     }
     // 2pi
-    if (PyModule_AddObject(module, "tau", PyFloat_FromDouble(Py_MATH_TAU)) < 0) {
+    if (PyModule_Add(module, "tau", PyFloat_FromDouble(Py_MATH_TAU)) < 0) {
         return -1;
     }
-    if (PyModule_AddObject(module, "inf", PyFloat_FromDouble(Py_INFINITY)) < 0) {
+    if (PyModule_Add(module, "inf", PyFloat_FromDouble(Py_INFINITY)) < 0) {
         return -1;
     }
-    if (PyModule_AddObject(module, "nan", PyFloat_FromDouble(fabs(Py_NAN))) < 0) {
+    if (PyModule_Add(module, "nan", PyFloat_FromDouble(fabs(Py_NAN))) < 0) {
         return -1;
     }
     return 0;
diff --git a/Modules/posixmodule.c b/Modules/posixmodule.c
index fd5e491f4611ee..23bf978d0cdbf1 100644
--- a/Modules/posixmodule.c
+++ b/Modules/posixmodule.c
@@ -13466,7 +13466,7 @@ setup_confname_table(struct constdef *table, size_t tablesize,
         }
         Py_DECREF(o);
     }
-    return PyModule_AddObject(module, tablename, d);
+    return PyModule_Add(module, tablename, d);
 }
 
 /* Return -1 on failure, 0 on success. */
@@ -16781,11 +16781,9 @@ posixmodule_exec(PyObject *m)
 #endif
 
     /* Initialize environ dictionary */
-    PyObject *v = convertenviron();
-    Py_XINCREF(v);
-    if (v == NULL || PyModule_AddObject(m, "environ", v) != 0)
+    if (PyModule_Add(m, "environ", convertenviron()) != 0) {
         return -1;
-    Py_DECREF(v);
+    }
 
     if (all_ins(m))
         return -1;
@@ -16900,9 +16898,7 @@ posixmodule_exec(PyObject *m)
         Py_DECREF(unicode);
     }
 
-    PyModule_AddObject(m, "_have_functions", list);
-
-    return 0;
+    return PyModule_Add(m, "_have_functions", list);
 }
 
 
diff --git a/Modules/timemodule.c b/Modules/timemodule.c
index 3607855dbd8f27..912710219bd014 100644
--- a/Modules/timemodule.c
+++ b/Modules/timemodule.c
@@ -1790,11 +1790,9 @@ init_timezone(PyObject *m)
         return -1;
     }
 #endif // MS_WINDOWS
-    PyObject *tzname_obj = Py_BuildValue("(NN)", otz0, otz1);
-    if (tzname_obj == NULL) {
+    if (PyModule_Add(m, "tzname", Py_BuildValue("(NN)", otz0, otz1)) < 0) {
         return -1;
     }
-    PyModule_AddObject(m, "tzname", tzname_obj);
 #else // !HAVE_DECL_TZNAME
     static const time_t YEAR = (365 * 24 + 6) * 3600;
     time_t t;
@@ -1837,10 +1835,9 @@ init_timezone(PyObject *m)
         PyModule_AddIntConstant(m, "daylight", janzone != julyzone);
         tzname_obj = Py_BuildValue("(zz)", janname, julyname);
     }
-    if (tzname_obj == NULL) {
+    if (PyModule_Add(m, "tzname", tzname_obj) < 0) {
         return -1;
     }
-    PyModule_AddObject(m, "tzname", tzname_obj);
 #endif // !HAVE_DECL_TZNAME
 
     if (PyErr_Occurred()) {