diff --git a/pyproject.toml b/pyproject.toml
index 6d5c896d..6658ce28 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -129,6 +129,7 @@ rendercv = 'rendercv.cli:app'
 
 [tool.hatch.envs.default]
 installer = "uv"
+python = "3.13"
 # Dependencies to be installed in the `default` virtual environment.
 dependencies = [
     "ruff",                 # to lint and format the code
@@ -141,8 +142,8 @@ dependencies = [
     "time-machine==2.15.0", # to select an arbitrary date and time for testing
     "pypdf==4.3.1",         # to read PDF files
 ]
-[[tool.hatch.envs.default.matrix]]
-python = ["3.10", "3.11", "3.12", "3.13"]
+[tool.hatch.envs.default.extra-scripts]
+pip = "{env:HATCH_UV} pip {args}"
 [tool.hatch.envs.default.scripts]
 # Hatch allows us to define scripts that can be run in the activated virtual environment
 # with `hatch run ENV_NAME:SCRIPT_NAME`.
@@ -152,16 +153,21 @@ format = "ruff check --fix && ruff format && black rendercv docs tests" # hatch
 lint = "ruff check rendercv tests" # hatch run lint
 # Check types in the `rendercv` package with `pyright`:
 check-types = "pyright rendercv && pyright tests" # hatch run check-types
+# Run pre-commit checks:
+precommit = "pre-commit run --all-files" # hatch run pre-commit
 # Run the tests:
 test = "pytest" # hatch run test
 # Run the tests and generate the coverage report as HTML:
 test-and-report = "coverage run -m pytest && pytest -k \"test_watcher\" && coverage combine && coverage report && coverage html --show-contexts" # hatch run test-and-report
-# Run pre-commit checks:
-precommit = "pre-commit run --all-files" # hatch run pre-commit
 
+[tool.hatch.envs.test]
+template = "default"
+[[tool.hatch.envs.test.matrix]]
+python = ["3.10", "3.11", "3.12", "3.13"]
 
 [tool.hatch.envs.docs]
 installer = "uv"
+python = "3.13"
 # Dependencies to be installed in the `docs` virtual environment.
 dependencies = [
     "mkdocs-material==9.5.34",     # to build docs
@@ -170,6 +176,8 @@ dependencies = [
     "pillow==10.4.0",              # lock the dependency of pdfCropMargins
     "mkdocs-macros-plugin==1.0.5", # to be able to have dynamic content in the documentation
 ]
+[tool.hatch.envs.docs.extra-scripts]
+pip = "{env:HATCH_UV} pip {args}"
 [tool.hatch.envs.docs.scripts]
 # Build the documentation with `mkdocs`:
 build = "mkdocs build --clean --strict" # hatch run docs:build