diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index dc0e3f821c..0011c9714c 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -52,7 +52,7 @@ jobs:
     if: ${{ needs.changes.outputs.changes == 'true' }}
     strategy:
       matrix:
-        python-version: ["3.9", "3.10", "3.11"]
+        python-version: ["3.9", "3.12"]
     steps:
     - uses: actions/checkout@v4
     - uses: actions/setup-python@v5
@@ -70,7 +70,7 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        python-version: ["3.9", "3.11"]
+        python-version: ["3.9", "3.12"]
         fast-compile: [0,1]
         float32: [0,1]
         install-numba: [0]
@@ -101,7 +101,7 @@ jobs:
             float32: 0
             part: "tests/link/numba"
           - install-numba: 1
-            python-version: "3.11"
+            python-version: "3.11"  # TODO: bump to 3.12 when numba 0.59 is released
             fast-compile: 0
             float32: 0
             part: "tests/link/numba"
@@ -111,7 +111,7 @@ jobs:
             float32: 0
             part: "tests/link/jax"
           - install-jax: 1
-            python-version: "3.11"
+            python-version: "3.12"
             fast-compile: 0
             float32: 0
             part: "tests/link/jax"
@@ -139,7 +139,7 @@ jobs:
       - name: Install dependencies
         shell: bash -l {0}
         run: |
-          mamba install --yes -q "python~=${PYTHON_VERSION}=*_cpython" mkl "numpy<1.26" scipy pip mkl-service graphviz cython pytest coverage pytest-cov pytest-benchmark pytest-mock sympy
+          mamba install --yes -q "python~=${PYTHON_VERSION}=*_cpython" mkl numpy scipy pip mkl-service graphviz cython pytest coverage pytest-cov pytest-benchmark pytest-mock sympy
           # numba-scipy downgrades the installed scipy to 1.7.3 in Python 3.9, but
           # not numpy, even though scipy 1.7 requires numpy<1.23. When installing
           # PyTensor next, pip installs a lower version of numpy via the PyPI.
@@ -249,7 +249,7 @@ jobs:
       - name: Set up Python
         uses: actions/setup-python@v5
         with:
-          python-version: "3.11"
+          python-version: "3.12"
 
       - name: Install dependencies
         run: |
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 644453950f..faad0cd4bf 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -27,7 +27,7 @@ repos:
       - id: ruff-format
         args: ["--line-length=88"]
   - repo: https://github.com/pre-commit/mirrors-mypy
-    rev: v1.0.0
+    rev: v1.8.0
     hooks:
       - id: mypy
         language: python
diff --git a/pyproject.toml b/pyproject.toml
index 79610e64db..88689b20f5 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -10,7 +10,7 @@ build-backend = "setuptools.build_meta"
 [project]
 name = "pytensor"
 dynamic = ['version']
-requires-python = ">=3.9,<3.12"
+requires-python = ">=3.9,<3.13"
 authors = [{ name = "pymc-devs", email = "pymc.devs@gmail.com" }]
 description = "Optimizing compiler for evaluating mathematical expressions on CPUs and GPUs."
 readme = "README.rst"
@@ -33,6 +33,7 @@ classifiers = [
     "Programming Language :: Python :: 3.9",
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
+    "Programming Language :: Python :: 3.12",
 ]
 
 keywords = [
diff --git a/pytensor/tensor/shape.py b/pytensor/tensor/shape.py
index 75286b6690..cbf7192286 100644
--- a/pytensor/tensor/shape.py
+++ b/pytensor/tensor/shape.py
@@ -146,7 +146,9 @@ def c_code_cache_version(self):
 def shape(x: Union[np.ndarray, Number, Variable]) -> Variable:
     """Return the shape of `x`."""
     if not isinstance(x, Variable):
-        x = ptb.as_tensor_variable(x)  # type: ignore
+        # The following is a type error in Python 3.9 but not 3.12.
+        # Thus we need to ignore unused-ignore on 3.12.
+        x = ptb.as_tensor_variable(x)  # type: ignore[arg-type,unused-ignore]
 
     return cast(Variable, _shape(x))
 
@@ -579,7 +581,9 @@ def specify_shape(
 
     # If the specified shape is already encoded in the input static shape, do nothing
     # This ignores PyTensor constants in shape
-    x = ptb.as_tensor_variable(x)  # type: ignore
+    x = ptb.as_tensor_variable(x)  # type: ignore[arg-type,unused-ignore]
+    # The above is a type error in Python 3.9 but not 3.12.
+    # Thus we need to ignore unused-ignore on 3.12.
     new_shape_info = any(
         s != xts for (s, xts) in zip(shape, x.type.shape) if s is not None
     )