diff --git a/sseclient.py b/sseclient.py
index 6d13ad6..4967556 100644
--- a/sseclient.py
+++ b/sseclient.py
@@ -63,12 +63,12 @@ def _connect(self):
     def iter_content(self):
         def generate():
             while True:
-                if hasattr(self.resp.raw, '_fp'):
+                if hasattr(self.resp.raw, '_fp') and not self.resp.raw.chunked:
                     chunk = self.resp.raw._fp.fp.read1(self.chunk_size)
                 else:
-                    # _fp is not available, this means that we cannot use short
-                    # reads and this will block until the full chunk size is
-                    # actually read
+                    # _fp is not available or we are using chunked encoding
+                    # this means that we cannot use short reads and this will
+                    # block until the full chunk size is actually read
                     chunk = self.resp.raw.read(self.chunk_size)
                 if not chunk:
                     break