diff --git a/conda-recipe/meta.yaml b/conda-recipe/meta.yaml
index 812362a627..a6e06f0dfd 100644
--- a/conda-recipe/meta.yaml
+++ b/conda-recipe/meta.yaml
@@ -41,12 +41,6 @@ requirements:
         - {{ dep }}
         {% elif dep.startswith('build>=') %}
         - {{ 'python-' ~ dep }}
-        {% elif dep.startswith('cython') %}
-        {% if dep.split(';')[1] == "python_version<'3.13'" %}
-        - {{ dep.split(';')[0] }} # [py<313]
-        {% else %}
-        - {{ dep.split(';')[0] }} # [py>=313]
-        {% endif %}
         {% else %}
         - {{ dep|replace('_','-') }}
         {% endif %}
diff --git a/conda-recipe/run_test.sh b/conda-recipe/run_test.sh
index 63ae7996cc..ea36ada687 100644
--- a/conda-recipe/run_test.sh
+++ b/conda-recipe/run_test.sh
@@ -4,4 +4,8 @@ set -e
 
 ${PYTHON} -c "import dpctl; print(dpctl.__version__)"
 ${PYTHON} -m dpctl -f
-${PYTHON} -m pytest -q -ra --disable-warnings --cov dpctl --cov-report term-missing --pyargs dpctl -vv
+if ${PYTHON} --version 2>&1 | grep -q '^Python 3\.13'; then
+    ${PYTHON} -m pytest -q -ra --disable-warnings --pyargs dpctl -vv
+else
+    ${PYTHON} -m pytest -q -ra --disable-warnings --cov dpctl --cov-report term-missing --pyargs dpctl -vv
+fi
diff --git a/pyproject.toml b/pyproject.toml
index 098eefa0a3..e7795060a6 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -8,8 +8,7 @@ requires = [
   "scikit-build>=0.17.0",
   "ninja>=1.11.1; platform_system!='Windows'",
   "cmake>=3.29.0",
-  "cython>=3.0.10;python_version<'3.13'",
-  "cython>=3.0.10,<3.1.0;python_version>='3.13'",
+  "cython>=3.0.10",
   "numpy >=1.23",
   # WARNING: check with doc how to upgrade
   "versioneer[toml]==0.29"