diff --git a/flax/linen/transforms.py b/flax/linen/transforms.py
index 51fbf177ee..7f4cf1c775 100644
--- a/flax/linen/transforms.py
+++ b/flax/linen/transforms.py
@@ -834,8 +834,8 @@ def scan(
      is broadcasted they are typically initialized inside the loop body but
      independent of the loop variables.
 
-  The loop body should have the signature
-  ``(scope, body, carry, *xs) -> (carry, ys)``, where ``xs`` and ``ys``
+  The ``target`` should have the signature
+  ``(module, carry, *xs) -> (carry, ys)``, where ``xs`` and ``ys``
   are the scan values that go in and out of the loop.
 
   Example::
@@ -921,8 +921,8 @@ def scan(
   which will in addition checkpoint each layer in the scan loop.
 
   Args:
-    target: a ``Module`` or a function taking a ``Module``
-      as its first argument.
+    target: a ``Module`` or a function taking a ``Module`` as its first
+      argument.
     variable_axes: the variable collections that are scanned over.
     variable_broadcast: Specifies the broadcasted variable collections. A
       broadcasted variable should not depend on any computation that cannot be
@@ -941,8 +941,8 @@ def scan(
     length: Specifies the number of loop iterations. This only needs to be
       specified if it cannot be derived from the scan arguments.
     reverse: If true, scan from end to start in reverse order.
-    unroll: how many scan iterations to unroll within a single
-      iteration of a loop (default: 1).
+    unroll: how many scan iterations to unroll within a single iteration of a
+      loop (default: 1).
     data_transform: optional function to transform raw functional-core variable
       and rng groups inside lifted scan body_fn, intended for inline SPMD
       annotations.
@@ -951,8 +951,8 @@ def scan(
     methods: If `target` is a `Module`, the methods of `Module` to scan over.
 
   Returns:
-    The scan function with the signature ``(scope, carry, *xxs) -> (carry,
-    yys)``, where ``xxs`` and ``yys`` are the scan values that go in and out of
+    The scan function with the signature ``(module, carry, *xs) -> (carry,
+    ys)``, where ``xs`` and ``ys`` are the scan values that go in and out of
     the loop.
   """
   return lift_transform(