diff --git a/ChangeLog b/ChangeLog
index fd6a991ea8..9f1eca45d2 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -321,6 +321,11 @@ Release date: TBA
 * Update ranges for ``using-constant-test`` and ``missing-parentheses-for-call-in-test``
   error messages.
 
+* Don't emit ``no-member`` inside type annotations with
+  ``from __future__ import annotations``.
+
+  Closes #6594
+
 ..
   Insert your changelog randomly, it will reduce merge conflicts
   (Ie. not necessarily at the end)
diff --git a/doc/whatsnew/2.14.rst b/doc/whatsnew/2.14.rst
index e780a7f47f..5eb360d21a 100644
--- a/doc/whatsnew/2.14.rst
+++ b/doc/whatsnew/2.14.rst
@@ -266,6 +266,11 @@ Other Changes
 * Update ranges for ``using-constant-test`` and ``missing-parentheses-for-call-in-test``
   error messages.
 
+* Don't emit ``no-member`` inside type annotations with
+  ``from __future__ import annotations``.
+
+  Closes #6594
+
 Deprecations
 ============
 
diff --git a/pylint/checkers/typecheck.py b/pylint/checkers/typecheck.py
index 8375ec809f..aae5d2935b 100644
--- a/pylint/checkers/typecheck.py
+++ b/pylint/checkers/typecheck.py
@@ -34,6 +34,7 @@
     is_inside_abstract_class,
     is_iterable,
     is_mapping,
+    is_node_in_type_annotation_context,
     is_overload_stub,
     is_postponed_evaluation_enabled,
     is_super,
@@ -1039,6 +1040,11 @@ def visit_attribute(self, node: nodes.Attribute) -> None:
         ):
             return
 
+        if is_postponed_evaluation_enabled(node) and is_node_in_type_annotation_context(
+            node
+        ):
+            return
+
         try:
             inferred = list(node.expr.infer())
         except astroid.InferenceError:
diff --git a/tests/functional/g/generated_members.py b/tests/functional/g/generated_members.py
index 2b3a2b07db..72878329d8 100644
--- a/tests/functional/g/generated_members.py
+++ b/tests/functional/g/generated_members.py
@@ -1,6 +1,6 @@
 """Test the generated-members config option."""
 # pylint: disable=pointless-statement, invalid-name, useless-object-inheritance
-from __future__ import print_function
+from __future__ import annotations
 from astroid import nodes
 from pylint import checkers
 
@@ -18,3 +18,11 @@ class Klass(object):
 SESSION = Klass()
 session.rollback()
 SESSION.rollback()
+
+
+# https://github.com/PyCQA/pylint/issues/6594
+# Don't emit no-member inside type annotations
+# with PEP 563 'from __future__ import annotations'
+print(Klass.X)  # [no-member]
+var: "Klass.X"
+var2: Klass.X
diff --git a/tests/functional/g/generated_members.txt b/tests/functional/g/generated_members.txt
index 0e1f71f56f..aac69fb7e8 100644
--- a/tests/functional/g/generated_members.txt
+++ b/tests/functional/g/generated_members.txt
@@ -1 +1,2 @@
 no-member:13:6:13:18::Instance of 'Klass' has no 'spam' member:INFERENCE
+no-member:26:6:26:13::Class 'Klass' has no 'X' member:INFERENCE