diff --git a/perl-libwww-perl.spec b/perl-libwww-perl.spec
index 52402ea..f71bd66 100644
--- a/perl-libwww-perl.spec
+++ b/perl-libwww-perl.spec
@@ -1,9 +1,11 @@
 # Run optional tests
 %bcond_without perl_libwww_perl_enables_optional_test
+# Perform tests that need the Internet
+%bcond_with perl_libwww_perl_enables_internet_test
 
 Name:           perl-libwww-perl
 Version:        6.43
-Release:        2%{?dist}
+Release:        3%{?dist}
 Summary:        A Perl interface to the World-Wide Web
 License:        GPL+ or Artistic
 URL:            https://metacpan.org/release/libwww-perl
@@ -77,8 +79,11 @@ BuildRequires:  perl(FindBin)
 BuildRequires:  perl(HTTP::Daemon) >= 6
 BuildRequires:  perl(Test::Fatal)
 BuildRequires:  perl(Test::More)
+%if %{with perl_libwww_perl_enables_internet_test}
 BuildRequires:  perl(Test::RequiresInternet)
+%endif
 BuildRequires:  perl(utf8)
+%if %{with perl_libwww_perl_enables_internet_test}
 BuildRequires:  perl(Test::Needs)
 %if %{with perl_libwww_perl_enables_optional_test}
 # Optional tests:
@@ -86,6 +91,7 @@ BuildRequires:  perl(Test::Needs)
 # CPAN::Meta::Prereqs not helpful
 BuildRequires:  perl(Test::LeakTrace)
 %endif
+%endif
 
 Requires:       perl(:MODULE_COMPAT_%(eval "`perl -V:version`"; echo $version))
 Requires:       perl(Authen::NTLM) >= 1.02
@@ -134,6 +140,10 @@ use and even classes that help you implement simple HTTP servers.
 %prep
 %setup -q -n libwww-perl-%{version} 
 %patch0 -p1
+%if !%{with perl_libwww_perl_enables_internet_test}
+rm t/leak/no_leak.t
+perl -i -ne 'print $_ unless m{^t/leak/no_leak.t}' MANIFEST
+%endif
 
 %build
 # Install the aliases by default
@@ -145,7 +155,7 @@ perl Makefile.PL INSTALLDIRS=vendor NO_PACKLIST=1 NO_PERLLOCAL=1 --aliases < /de
 %{_fixperms} $RPM_BUILD_ROOT/*
 
 %check
-unset PERL_LWP_ENV_HTTP_TEST_SERVER_TIMEOUT PERL_LWP_ENV_HTTP_TEST_URL
+unset COVERAGE PERL_LWP_ENV_HTTP_TEST_SERVER_TIMEOUT PERL_LWP_ENV_HTTP_TEST_URL
 make test
 
 %files
@@ -159,6 +169,9 @@ make test
 %{_mandir}/man3/*.3*
 
 %changelog
+* Fri Feb 14 2020 Petr Pisar <ppisar@redhat.com> - 6.43-3
+- Do not perform tests that need the Internet by default
+
 * Thu Jan 30 2020 Fedora Release Engineering <releng@fedoraproject.org> - 6.43-2
 - Rebuilt for https://fedoraproject.org/wiki/Fedora_32_Mass_Rebuild