diff --git a/tests/constraints.txt b/tests/constraints.txt
index 970278c40e2e62..5eb464f0c330f4 100644
--- a/tests/constraints.txt
+++ b/tests/constraints.txt
@@ -3,7 +3,7 @@ attrs==25.4.0
 distro==1.9.0
 h5py>=3.1.0,<3.16.0
 Jinja2>=2.11.2
-pandas>=1.3.5
+pandas>=2.3.3
 pymongo>=3.12.0
 PyYAML>=5.4.1
 scipy>=1.11.1; python_version >= "3.9"
diff --git a/tests/layer_tests/requirements.txt b/tests/layer_tests/requirements.txt
index 2ba12cc5e2bece..a346a9c6947ef1 100644
--- a/tests/layer_tests/requirements.txt
+++ b/tests/layer_tests/requirements.txt
@@ -1,13 +1,12 @@
 -c ../constraints.txt
 # paddlepaddle #  ticket 95904
 numpy
-onnxruntime>=1.18.0,<=1.19.2; python_version <= '3.9'
-onnxruntime>=1.18.0; python_version >= '3.10'
+onnxruntime>=1.18.0
 requests
 torch
-torchvision; platform_machine == 'arm64' and python_version >= '3.9'
+torchvision; platform_machine == 'arm64'
 torchvision; platform_machine != 'arm64'
-sympy; platform_machine == 'arm64' and python_version >= '3.9'
+sympy; platform_machine == 'arm64'
 sympy; platform_machine != 'arm64'
 transformers
 packaging
diff --git a/tests/requirements_tensorflow b/tests/requirements_tensorflow
index 35ffbfa5ba7086..837a18ab61efc4 100644
--- a/tests/requirements_tensorflow
+++ b/tests/requirements_tensorflow
@@ -2,8 +2,8 @@
 # test against NumPy 1.x with older Python versions
 # tensorflow-intel 2.18.0 depends on numpy<2.1.0 and >=1.26.0
 # tensorflow 2.16.2 depends on numpy<2.0.0 and >=1.26.0; python_version >= "3.12"
-numpy==1.26.4; python_version < "3.12" or platform_system == "Darwin" and platform_machine == "x86_64"
-numpy==2.2.6; python_version >= "3.12" and (platform_system != "Darwin" or platform_machine != "x86_64")
+numpy==1.26.4; python_version < "3.12" or (platform_system == "Darwin" and platform_machine == "x86_64" and python_version < "3.13")
+numpy==2.2.6; python_version >= "3.13" or (python_version >= "3.12" and (platform_system != "Darwin" or platform_machine != "x86_64"))
 pytest==7.2.0
 pytest-xdist[psutil]==3.6.1
 pytest-html==4.2.0
@@ -11,14 +11,13 @@ transformers==4.45.1
 # install exact keras version since tensorflow depends and has no upper bound for it
 keras==3.13.0; python_version >= "3.13"
 keras==3.12.0; python_version < "3.13"
-tensorflow==2.20.0; platform_system != "Darwin" or platform_machine != "x86_64"
-tensorflow==2.16.2; platform_system == "Darwin" and platform_machine == "x86_64"
+tensorflow==2.20.0; python_version >= "3.13" or (python_version >= "3.11" and (platform_system != "Darwin" or platform_machine != "x86_64"))
+tensorflow==2.16.2; python_version < "3.13" and (python_version < "3.11" or (platform_system == "Darwin" and platform_machine == "x86_64"))
 # install explicit version of wrapt to avoid "this __dict__ descriptor does not support '_DictWrapper' objects" error from TensorFlow 2.18
 wrapt==1.15.0; python_version >= "3.12"
 # tensorflow-text is not available for both Windows and ARM platforms
 #tensorflow-text==2.19.0; python_version < "3.13" and platform_system == "Linux" and platform_machine == "x86_64" # ticket 179327
 tensorflow-hub==0.16.1
-jax==0.5.0; (platform_system != "Darwin" or platform_machine != "x86_64")
-# tensorflow 2.16.2 depends on ml-dtypes~=0.3.1 and jax 0.4.35 depends on ml-dtypes>=0.4.0
-jax==0.4.33; (platform_system == "Darwin" and platform_machine == "x86_64")
+jax==0.5.0; python_version >= "3.11" and (platform_system != "Darwin" or platform_machine != "x86_64")
+jax==0.4.33; python_version < "3.11" or (platform_system == "Darwin" and platform_machine == "x86_64")
 defusedxml==0.7.1