diff --git a/.github/scripts/override_constraints.py b/.github/scripts/override_constraints.py
new file mode 100644
index 00000000000..69f42a8269a
--- /dev/null
+++ b/.github/scripts/override_constraints.py
@@ -0,0 +1,41 @@
+# Copyright (c) 2025 Intel Corporation
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#      http://www.apache.org/licenses/LICENSE-2.0
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import re
+import sys
+from pathlib import Path
+
+CONSTRAINTS_FILE = "constraints.txt"
+
+
+def main():
+    arg = sys.argv[1]
+    overrided_requirements = [r.strip() for r in arg.split(",")]
+
+    print("overrided_requirements: ", arg)
+
+    file = Path(CONSTRAINTS_FILE)
+    content = file.read_text()
+
+    for new_requirement in overrided_requirements:
+        new_requirement = new_requirement.strip()
+        package_name = new_requirement.split("==")[0]
+        content = re.sub(f"^{package_name}\s*[=><].*", "", content, flags=re.MULTILINE)
+        content += f"\n{new_requirement}"
+
+    print("New constraints:")
+    print(content)
+
+    file.write_text(content)
+
+
+if __name__ == "__main__":
+    main()
diff --git a/.github/workflows/call_precommit.yml b/.github/workflows/call_precommit.yml
index 24eb6116a29..11098e693af 100644
--- a/.github/workflows/call_precommit.yml
+++ b/.github/workflows/call_precommit.yml
@@ -13,6 +13,11 @@ on:
         type: boolean
         default: false
         required: true
+      override_requirements:
+        description: 'Override requirements'
+        default: ''
+        type: string
+        required: false
 
 jobs:
   common:
@@ -29,8 +34,12 @@ jobs:
         with:
           python-version: ${{ inputs.python_version }}
           cache: pip
+      - name: Override constraints
+        if: ${{ inputs.override_requirements != '' }}
+        run: python .github/scripts/override_constraints.py "${{ inputs.override_requirements }}"
+        shell: bash
       - name: Install NNCF and test requirements
-        run: make install-common-test
+        run: pip install . -r tests/common/requirements.txt
       - name: Print installed modules
         run: pip list
       - name: Run common precommit test scope
@@ -51,8 +60,12 @@ jobs:
       - uses: actions/setup-python@0a5c61591373683505ea898e09a3ea4f39ef2b9c # v5.0.0
         with:
           python-version: ${{ inputs.python_version }}
+      - name: Override constraints
+        if: ${{ inputs.override_requirements != '' }}
+        run: python .github/scripts/override_constraints.py "${{ inputs.override_requirements }}"
+        shell: bash
       - name: Install NNCF and test requirements
-        run: make install-onnx-test
+        run: pip install . -r tests/onnx/requirements.txt
       - name: Print installed modules
         run: pip list
       - name: Run ONNX precommit test scope
@@ -74,8 +87,12 @@ jobs:
         with:
           python-version: ${{ inputs.python_version }}
           cache: pip
+      - name: Override constraints
+        if: ${{ inputs.override_requirements != '' }}
+        run: python .github/scripts/override_constraints.py "${{ inputs.override_requirements }}"
+        shell: bash
       - name: Install NNCF and test requirements
-        run: make install-openvino-test
+        run: pip install . -r tests/openvino/requirements.txt
       - name: Print installed modules
         run: pip list
       - name: Run OV precommit test scope
@@ -108,8 +125,12 @@ jobs:
         run: |
           cat /etc/*release
           cat /proc/cpuinfo
+      - name: Override constraints
+        if: ${{ inputs.override_requirements != '' }}
+        run: python .github/scripts/override_constraints.py "${{ inputs.override_requirements }}"
+        shell: bash
       - name: Install NNCF and test requirements
-        run: make install-torch-test
+        run: pip install . -r tests/torch/requirements.txt
       - name: Print installed modules
         run: pip list
       - name: Run PyTorch precommit test scope
@@ -151,8 +172,12 @@ jobs:
         with:
           python-version: ${{ inputs.python_version }}
           cache: pip
+      - name: Override constraints
+        if: ${{ inputs.override_requirements != '' }}
+        run: python .github/scripts/override_constraints.py "${{ inputs.override_requirements }}"
+        shell: bash
       - name: Install NNCF and test requirements
-        run: make install-torch-test
+        run: pip install . -r tests/torch/requirements.txt
       - name: Print installed modules
         run: pip list
       - name: Check CUDA
@@ -181,8 +206,12 @@ jobs:
         with:
           python-version: ${{ inputs.python_version }}
           cache: pip
+      - name: Override constraints
+        if: ${{ inputs.override_requirements != '' }}
+        run: python .github/scripts/override_constraints.py "${{ inputs.override_requirements }}"
+        shell: bash
       - name: Install NNCF and test requirements
-        run: make install-tensorflow-test
+        run: pip install . -r tests/tensorflow/requirements.txt
       - name: Print installed modules
         run: pip list
       - name: Run TensorFlow precommit test scope
@@ -204,7 +233,7 @@ jobs:
         with:
           python-version: ${{ inputs.python_version }}
           cache: pip
-      - name: Install NNCF and test requirements
+      - name: Install test requirements
         run: pip install -r tests/tools/requirements.txt
       - name: Print installed modules
         run: pip list
@@ -225,9 +254,13 @@ jobs:
         with:
           python-version: ${{ inputs.python_version }}
           cache: pip
+      - name: Override constraints
+        if: ${{ inputs.override_requirements != '' }}
+        run: python .github/scripts/override_constraints.py "${{ inputs.override_requirements }}"
+        shell: bash
       - name: Install NNCF and test requirements
         run: |
-          pip install -r tests/torch2/requirements.txt -e .
+          pip install . -r tests/torch2/requirements.txt
       - name: Print installed modules
         run: pip list
       - name: Run torch2 precommit test scope
diff --git a/.github/workflows/weekly.yml b/.github/workflows/weekly.yml
index f478667f256..8c6556c9014 100644
--- a/.github/workflows/weekly.yml
+++ b/.github/workflows/weekly.yml
@@ -12,10 +12,15 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        python_version: ["3.9", "3.11", "3.12"]
+        include:
+          - python_version: "3.9"
+            override_requirements: "numpy==1.24.0"
+          - python_version: "3.11"
+          - python_version: "3.12"
     uses: ./.github/workflows/call_precommit.yml
     with:
       python_version: ${{ matrix.python_version }}
+      override_requirements: ${{ matrix.override_requirements || '' }}
       gpu_enabled: false
 
   macos:
diff --git a/pyproject.toml b/pyproject.toml
index 439807c1fe6..d2dff390a79 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -38,7 +38,7 @@ dependencies = [
     "natsort>=7.1.0",
     "networkx>=2.6, <=3.3",
     "ninja>=1.10.0.post2, <1.12",
-    "numpy>=1.19.1, <2.2.0",
+    "numpy>=1.24.0, <2.2.0",
     "openvino-telemetry>=2023.2.0",
     "packaging>=20.0",
     "pandas>=1.1.5,<2.3",