diff --git a/python-zmq.spec b/python-zmq.spec
index 42d1c06..ba96237 100644
--- a/python-zmq.spec
+++ b/python-zmq.spec
@@ -73,7 +73,6 @@ messaging implementation.}
 
 %package -n python%{python3_pkgversion}-zmq
 Summary:        %{summary}
-License:        LGPLv3+
 %{?python_provide:%python_provide python%{python3_pkgversion}-zmq}
 %{?python_provide:%python_provide python%{python3_pkgversion}-pyzmq}
 Provides:       python%{python3_pkgversion}-pyzmq = %{version}-%{release}
@@ -83,7 +82,10 @@ Provides:       python%{python3_pkgversion}-pyzmq = %{version}-%{release}
 
 %package -n python%{python3_pkgversion}-zmq-tests
 Summary:        Test suite for Python bindings for zeromq
-License:        LGPLv3+
+# This subpackage does not contain any of the files that are under other
+# licenses; see the comment above the main License tag.
+License:        BSD-3-Clause
+
 Requires:       python%{python3_pkgversion}-zmq%{?_isa} = %{version}-%{release}
 %{?python_provide:%python_provide python%{python3_pkgversion}-zmq-tests}
 %{?python_provide:%python_provide python%{python3_pkgversion}-pyzmq-tests}