diff --git a/src/Microsoft.ML.Data/Transforms/Normalizer.cs b/src/Microsoft.ML.Data/Transforms/Normalizer.cs
index 100a65609d..fc9696edbc 100644
--- a/src/Microsoft.ML.Data/Transforms/Normalizer.cs
+++ b/src/Microsoft.ML.Data/Transforms/Normalizer.cs
@@ -462,6 +462,7 @@ internal static NormalizingTransformer Train(IHostEnvironment env, IDataView dat
 
                     while (cursor.MoveNext())
                     {
+                        env.CheckAlive();
                         // If the row has bad values, the good values are still being used for training.
                         // The comparisons in the code below are arranged so that NaNs in the input are not recorded.
                         // REVIEW: Should infinities and/or NaNs be filtered before the normalization? Should we not record infinities for min/max?