diff --git a/docs/api/runtime-type-checking.md b/docs/api/runtime-type-checking.md
index 62adc6e..ec0cd86 100644
--- a/docs/api/runtime-type-checking.md
+++ b/docs/api/runtime-type-checking.md
@@ -8,6 +8,10 @@ There are two approaches: either use [`jaxtyping.jaxtyped`][] to typecheck a sin
 
 In either case, the actual business of checking types is performed with the help of a runtime type-checking library. The two most popular are [beartype](https://github.com/beartype/beartype) and [typeguard](https://github.com/agronholm/typeguard). (If using typeguard, then specifically the version `2.*` series should be used. Later versions -- `3` and `4` -- have some known issues.)
 
+!!! warning
+
+    Avoid using `from __future__ import annotations`, or stringified type annotations, where possible. These are largely incompatible with runtime type checking. See also [this FAQ entry](../faq.md#dataclass-annotations-arent-being-checked-properly).
+
 ---
 
 ::: jaxtyping.jaxtyped
diff --git a/docs/faq.md b/docs/faq.md
index 8728af0..2ba6f4f 100644
--- a/docs/faq.md
+++ b/docs/faq.md
@@ -20,6 +20,24 @@ Some tooling in the Python ecosystem assumes that only the latter is true, and w
 
 In the case of `flake8`, or Ruff, this can be resolved. Multi-dimensional arrays (e.g. `Float32[Array, "b c"]`) will throw a very unusual error (F722, syntax error in forward annotation), so you can safely just disable this particular error globally. Uni-dimensional arrays (e.g. `Float32[Array, "x"]`) will throw an error that's actually useful (F821, undefined name), so instead of disabling this globally, you should instead prepend a space to the start of your shape, e.g. `Float32[Array, " x"]`. `jaxtyping` will treat this in the same way, whilst `flake8` will now throw an F722 error that you can disable as before.
 
+## Dataclass annotations aren't being checked properly.
+
+Stringified dataclass annotations, e.g.
+```python
+@dataclass()
+class Foo:
+   x: "int"
+```
+will be silently skipped without checking them. This is because these are essentially impossible to resolve at runtime. Such stringified annotations typically occur either when using them for forward references, or when using `from __future__ import annotations`. (You should essentially never use the latter, it is largely incompatible with runtime type checking and as such is [being replaced in Python 3.13](https://peps.python.org/pep-0649/).)
+
+Partially stringified dataclass annotations, e.g.
+```python
+@dataclass()
+class Foo:
+   x: tuple["int"]
+```
+will likely raise an error, and must not be used at all.
+
 ## Does jaxtyping use [PEP 646](https://www.python.org/dev/peps/pep-0646/) (variadic generics)?
 
 The intention of PEP 646 was to make it possible for static type checkers to perform shape checks of arrays. Unfortunately, this still isn't yet practical, so jaxtyping deliberately does not use this. (Yet?)
diff --git a/jaxtyping/_import_hook.py b/jaxtyping/_import_hook.py
index 10f7f69..6b1da2e 100644
--- a/jaxtyping/_import_hook.py
+++ b/jaxtyping/_import_hook.py
@@ -358,28 +358,6 @@ def f(x: Float32[Array, "batch channels"]):
                                                  # so will be hook'd.
         ```
 
-    !!! warning
-
-        Stringified dataclass annotations, e.g.
-        ```python
-        @dataclass()
-        class Foo:
-            x: "int"
-        ```
-        will be silently skipped without checking them. This is because these are
-        essentially impossible to resolve at runtime. Such stringified annotations
-        typically occur either when using them for forward references, or when using
-        `from __future__ import annotations`. (You should never use the latter, it is
-        largely incompatible with runtime type checking.)
-
-        Partially stringified dataclass annotations, e.g.
-        ```python
-        @dataclass()
-        class Foo:
-            x: tuple["int"]
-        ```
-        will likely raise an error, and must not be used at all.
-
     !!! warning
 
         If a function already has any decorators on it, then `@jaxtyped` will get added