diff --git a/timm/data/transforms.py b/timm/data/transforms.py
index d4f67bf9..33911638 100644
--- a/timm/data/transforms.py
+++ b/timm/data/transforms.py
@@ -179,8 +179,12 @@ def transforms_imagenet_train(
         transforms.RandomHorizontalFlip()
     ]
     if auto_augment:
+        if isinstance(img_size, tuple):
+            img_size_min = min(img_size)
+        else:
+            img_size_min = img_size
         aa_params = dict(
-            translate_const=img_size[-1] // 2 - 1,
+            translate_const=int(img_size_min * 0.45),
             img_mean=tuple([min(255, round(255 * x)) for x in mean]),
         )
         if interpolation and interpolation != 'random':