diff --git a/python-boto3.spec b/python-boto3.spec
index f56723d..d6307f3 100644
--- a/python-boto3.spec
+++ b/python-boto3.spec
@@ -1,4 +1,10 @@
 %bcond tests 1
+# We would like to have a BuildRequires and weak runtime dependency on
+# python3-awscrt, which enables additional functionality and tests, but it is
+# ExcludeArch: s390x (https://bugzilla.redhat.com/show_bug.cgi?id=2180988) and
+# we do not want to add architecture conditionals to this package, so we omit
+# the dependency for now.
+%bcond awscrt 0
 
 Name:           python-boto3
 Version:        1.34.11
@@ -34,12 +40,14 @@ services like Amazon S3 and Amazon EC2.}
 %package -n     python3-boto3
 Summary:        %{summary}
 
+%if %{with awscrt}
 # Optional dependency that enables additional functionality and additional
 # tests, and is needed for the import-only “smoke test”:
 #   boto3-1.34.7/boto3/s3/transfer.py
 #   185:    # This feature requires awscrt>=0.19.18
 BuildRequires:  %{py3_dist awscrt} >= 0.19.18
 Recommends:     %{py3_dist awscrt} >= 0.19.18
+%endif
 
 %description -n python3-boto3 %{_description}
 
@@ -69,7 +77,7 @@ hardlink -c '%{buildroot}%{python3_sitelib}/boto3'
 # Integration tests require network access and real AWS resources.
 %pytest --ignore=tests/integration -v -n auto
 %else
-%pyproject_check_import
+%pyproject_check_import %{?!with_awscrt:-e boto3.crt}
 %endif
 
 %files -n python3-boto3 -f %{pyproject_files}
@@ -86,7 +94,8 @@ hardlink -c '%{buildroot}%{python3_sitelib}/boto3'
 - Simplify the spec file by eliminating the %%pypi_name macro
 - Port to pyproject-rpm-macros
 - Save space by hardlinking duplicate JSON resource files
-- Add a weak dependency on python3-awscrt
+- Add a weak dependency on python3-awscrt, but disable it for now since it is
+  not available on s390x
 - Switch to the GitHub source archive and run the unit and functional tests
 
 * Tue Jan 02 2024 Gwyn Ciesla <gwync@protonmail.com> - 1.34.11-1