diff --git a/python-nose.spec b/python-nose.spec
index 27bea30..83d29f7 100644
--- a/python-nose.spec
+++ b/python-nose.spec
@@ -31,11 +31,11 @@ BuildRequires:  python2-devel
 %if 0%{?with_python3}
 BuildRequires: python3-devel
 BuildRequires: python3-setuptools
-BuildRequires: python3-coverage
+BuildRequires: python3-coverage >= 3.4-1
 %endif
 BuildRequires: python-setuptools
 BuildRequires: dos2unix
-BuildRequires:  python-coverage
+BuildRequires:  python-coverage >= 3.4-1
 Requires:       python-setuptools
 
 %description