diff --git a/README.md b/README.md
index 22338f1..bdc84d4 100644
--- a/README.md
+++ b/README.md
@@ -3,6 +3,6 @@ glymur: a Python interface for JPEG 2000
 
 **glymur** contains a Python interface to the OpenJPEG library which
 allows one to read and write JPEG 2000 files.  **glymur** works on
-Python 2.7 and 3.3.  Python 3.3 is strongly recommended.
+Python 2.7, 3.3, and 3.4.
 
 Please read the docs, https://glymur.readthedocs.org/en/latest/