diff --git a/python-pip.spec b/python-pip.spec
index 27e57a5..54c072f 100644
--- a/python-pip.spec
+++ b/python-pip.spec
@@ -82,7 +82,9 @@ easy_installable should be pip-installable as well.
 %package -n python%{python3_pkgversion}-%{srcname}
 Summary:        A tool for installing and managing Python3 packages
 Group:          Development/Libraries
-
+# The python3 subpackages share the pip3 bash completion file, so force them to
+# be upgraded together.
+Conflicts:      python%{python3_other_pkgversion}-%{srcname} < %{version}-%{release}
 BuildRequires:  python%{python3_pkgversion}-devel
 BuildRequires:  python%{python3_pkgversion}-setuptools
 %if 0%{?with_tests}
@@ -112,6 +114,9 @@ easy_installable should be pip-installable as well.
 %if 0%{?with_python3}
 %package -n python%{python3_other_pkgversion}-%{srcname}
 Summary:        A tool for installing and managing Python3 packages
+# The python3 subpackages share the pip3 bash completion file, so force them to
+# be upgraded together.
+Conflicts:      python%{python3_pkgversion}-%{srcname} < %{version}-%{release}
 BuildRequires:  python%{python3_other_pkgversion}-devel
 BuildRequires:  python%{python3_other_pkgversion}-setuptools
 %if 0%{?with_tests}