diff --git a/.github/workflows/build-wheels.yml b/.github/workflows/build-wheels.yml
index 5f8463f1a0..1edb20ead4 100644
--- a/.github/workflows/build-wheels.yml
+++ b/.github/workflows/build-wheels.yml
@@ -36,15 +36,15 @@ jobs:
           platforms: all
 
       - name: Build wheels
-        uses: pypa/cibuildwheel@v2.22.0
+        uses: pypa/cibuildwheel@v3.1.1
         env:
           CIBW_ARCHS_LINUX: x86_64 aarch64
           CIBW_ARCHS_MACOS: x86_64 arm64
           CIBW_ARCHS_WINDOWS: AMD64 x86
-          CIBW_SKIP: pp* cp36-* cp37-* cp313-* *-win32 *_i686 *-musllinux_*
+          CIBW_SKIP: cp314-* *-win32 *_i686 *-musllinux_*
           CIBW_TEST_COMMAND: pytest -rfxEXs --durations=20 --disable-warnings --showlocals --pyargs gensim
           CIBW_TEST_REQUIRES: pytest testfixtures mock
-          CIBW_TEST_SKIP: cp38* cp39* cp310* cp311* cp313* *_aarch64 *_arm64 *_universal2
+          CIBW_TEST_SKIP: cp38* cp39* cp310* cp311* cp314-* *_aarch64 *_arm64 *_universal2
           CIBW_BUILD_VERBOSITY: 3
 
       - name: Upload wheels as artifacts
diff --git a/pyproject.toml b/pyproject.toml
index dba0603d0f..9fdd0ff62c 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,14 +1,7 @@
 [build-system]
 requires = [
-    #
-    # If we build our extensions with Cython 3.0.0, then they will be an
-    # order of magnitude slower, so avoid it for now.
-    #
-    "Cython>=0.29.32,<3.0.0",
-    # oldest supported Numpy for this platform is 1.17 but the oldest supported by Gensim
-    # is 1.18.5, remove the line when they increase oldest supported Numpy for this platform
-    "numpy==1.18.5; python_version=='3.8' and platform_machine not in 'arm64|aarch64'",
-    "oldest-supported-numpy; python_version>'3.8' or platform_machine in 'arm64|aarch64'",
+    "Cython==3.1.2",
+    "numpy>=2.0.0",
     "setuptools",
     "wheel",
 ]