diff --git a/mark-network-tests.patch b/mark-network-tests.patch
new file mode 100644
index 0000000..3c5f30b
--- /dev/null
+++ b/mark-network-tests.patch
@@ -0,0 +1,37 @@
+---
+ setup.cfg                  |    2 ++
+ tests/test_multichannel.py |    1 +
+ tests/test_util.py         |    1 +
+ 3 files changed, 4 insertions(+)
+
+--- a/setup.cfg
++++ b/setup.cfg
+@@ -14,6 +14,8 @@ addopts =  --mpl --mpl-baseline-path=tes
+ filterwarnings =
+     ignore::DeprecationWarning:audioread.*
+     ignore::DeprecationWarning:resampy.*
++markers =
++    network: tests requiring network connection
+ 
+ [flake8]
+ count = True
+--- a/tests/test_multichannel.py
++++ b/tests/test_multichannel.py
+@@ -914,6 +914,7 @@ def test_click_multi():
+     assert np.allclose(yout[..., 2000:2100], click)
+ 
+ 
++@pytest.mark.network
+ def test_nnls_multi(s_multi):
+ 
+     # Verify that a stereo melspectrogram can be reconstructed
+--- a/tests/test_util.py
++++ b/tests/test_util.py
+@@ -1396,6 +1396,7 @@ def test_cite_badversion():
+     librosa.cite(version="-1.5")
+ 
+ 
++@pytest.mark.network
+ @pytest.mark.xfail(raises=librosa.ParameterError)
+ def test_cite_unreleased():
+     librosa.cite("0.10.0.dev0")
diff --git a/python-librosa.changes b/python-librosa.changes
index 2b06dc1..f251d0d 100644
--- a/python-librosa.changes
+++ b/python-librosa.changes
@@ -5,6 +5,8 @@ Wed Oct  2 20:59:35 UTC 2024 - Matej Cepl <mcepl@cepl.eu>
   the most recent version of SciPy (gh#librosa/librosa#1849).
 - Add sysinfo.py to provide upstream with the required debugging
   information.
+- Add mark-network-tests.patch marking tests which require
+  network connection to run.
 
 -------------------------------------------------------------------
 Fri Sep 20 22:12:01 UTC 2024 - Matej Cepl <mcepl@cepl.eu>
diff --git a/python-librosa.spec b/python-librosa.spec
index dc37fdf..121d718 100644
--- a/python-librosa.spec
+++ b/python-librosa.spec
@@ -35,6 +35,9 @@ Source20:       sysinfo.py
 # PATCH-FIX-UPSTREAM csr_matrix-attr-H.patch gh#librosa/librosa#1849 mcepl@suse.com
 # csr_matrix.H in scipy has been removed
 Patch0:         csr_matrix-attr-H.patch
+# PATCH-FIX-UPSTREAM mark-network-tests.patch mcepl@suse.com
+# to skip test which require network access
+Patch1:         mark-network-tests.patch
 BuildRequires:  %{python_module SoundFile >= 0.12.1}
 BuildRequires:  %{python_module audioread >= 2.1.9}
 BuildRequires:  %{python_module base >= 3.7}
@@ -153,8 +156,10 @@ notparallel+=" or test_zero_crossings"
 donttest+=" or test_beat"
 # gh#librosa/librosa#1880
 donttest+=" or test_nnls_multiblock"
-%pytest -k "not (${donttest} or ${notparallel})" -n auto
-%pytest -k "not (${donttest}) and (${notparallel})"
+#
+donttest+=" or test_subsegment_badn"
+%pytest -k "not (${donttest} or ${notparallel} or network)" -n auto
+%pytest -k "not (${donttest} or network) and (${notparallel})"
 
 %files %{python_files}
 %doc AUTHORS.md README.md