diff --git a/python/ql/src/Imports/UnintentionalImport.ql b/python/ql/src/Imports/UnintentionalImport.ql
index dfd751fd5270..2a3c2b6460b8 100644
--- a/python/ql/src/Imports/UnintentionalImport.ql
+++ b/python/ql/src/Imports/UnintentionalImport.ql
@@ -26,7 +26,7 @@ predicate all_defined(ModuleValue exporter) {
 }
 
 from ImportStar imp, ModuleValue exporter
-where import_star(imp, exporter) and not all_defined(exporter)
+where import_star(imp, exporter) and not all_defined(exporter) and not exporter.isAbsent()
 select imp,
   "Import pollutes the enclosing namespace, as the imported module $@ does not define '__all__'.",
   exporter, exporter.getName()
diff --git a/python/ql/test/query-tests/Imports/general/ImportStarUsed.expected b/python/ql/test/query-tests/Imports/general/ImportStarUsed.expected
index 9aa101edbca6..d29bc2b9b5ff 100644
--- a/python/ql/test/query-tests/Imports/general/ImportStarUsed.expected
+++ b/python/ql/test/query-tests/Imports/general/ImportStarUsed.expected
@@ -1,2 +1,3 @@
 | imports_test.py:21:1:21:20 | from module import * | Using 'from ... import *' pollutes the namespace |
 | imports_test.py:22:1:22:32 | from module_without_all import * | Using 'from ... import *' pollutes the namespace |
+| imports_test.py:65:1:65:40 | from module_that_does_not_exist import * | Using 'from ... import *' pollutes the namespace |
diff --git a/python/ql/test/query-tests/Imports/general/imports_test.py b/python/ql/test/query-tests/Imports/general/imports_test.py
index 5e5184b78c7e..4b51f8254fc4 100644
--- a/python/ql/test/query-tests/Imports/general/imports_test.py
+++ b/python/ql/test/query-tests/Imports/general/imports_test.py
@@ -61,3 +61,5 @@ def __init__(self):
 #Use it
 different
 
+# FP reported in https://github.com/github/codeql/issues/4003
+from module_that_does_not_exist import *