diff --git a/scipy/signal/signaltools.py b/scipy/signal/signaltools.py
index b24b30f89266..84a9ee2a0eaf 100644
--- a/scipy/signal/signaltools.py
+++ b/scipy/signal/signaltools.py
@@ -161,6 +161,9 @@ def correlate(in1, in2, mode='full', method='auto'):
     `fftconvolve`. In certain cases (i.e., arrays of objects or when
     rounding integers can lose precision), ``method='direct'`` is always used.
 
+    When using "same" mode with even-length inputs, the outputs of `correlate`
+    and `correlate2d` differ: There is a 1-index offset between them.
+
     Examples
     --------
     Implement a matched filter using cross-correlation, to recover a signal
@@ -1613,6 +1616,11 @@ def correlate2d(in1, in2, mode='full', boundary='fill', fillvalue=0):
         A 2-dimensional array containing a subset of the discrete linear
         cross-correlation of `in1` with `in2`.
 
+    Notes
+    -----
+    When using "same" mode with even-length inputs, the outputs of `correlate`
+    and `correlate2d` differ: There is a 1-index offset between them.
+
     Examples
     --------
     Use 2D cross-correlation to find the location of a template in a noisy