diff --git a/jax/_src/util.py b/jax/_src/util.py
index 35ca26bf6466..1eb1ed4d1ad0 100644
--- a/jax/_src/util.py
+++ b/jax/_src/util.py
@@ -449,9 +449,10 @@ def my_grad(f):
   and hence is thread-safe.
 
   Currently supported functions:
-  checkpoint, grad, hessian, jacfwd, jacrev, jit, jvp, lax.associative_scan,
-  lax.cond, lax.fori_loop, lax.scan, lax.switch, lax.while_loop,
-  linear_transpose, linearize, named_call, pmap, value_and_grad, vjp, vmap
+  checkpoint, eval_shape, grad, hessian, invertible, jacfwd, jacrev, jit, jvp,
+  lax.associative_scan, lax.cond, lax.fori_loop, lax.scan, lax.switch,
+  lax.while_loop, linear_transpose, linearize, named_call, pmap, value_and_grad,
+  vjp, vmap
   """
   tokens = {k: _OVERRIDES[k].set(v) for k, v in implementations.items()}
   try:
diff --git a/jax/api.py b/jax/api.py
index 1113c4278013..c300f23bc7c5 100644
--- a/jax/api.py
+++ b/jax/api.py
@@ -2273,6 +2273,8 @@ def __eq__(self, other):
   def __hash__(self):
     return hash((self.shape, self.dtype))
 
+
+@overrideable('eval_shape')
 def eval_shape(fun: Callable, *args, **kwargs):
   """Compute the shape/dtype of ``fun`` without any FLOPs.
 
@@ -2623,6 +2625,7 @@ def vjpfun(ct):
     return ans, vjpfun
   defvjp_all(fun, custom_vjp)
 
+@overrideable('invertible')
 def invertible(fun: Callable) -> Callable:
   """Asserts that the decorated function is invertible.