diff --git a/AUTHORS.rst b/AUTHORS.rst
index 4672a0211..60d4f6850 100644
--- a/AUTHORS.rst
+++ b/AUTHORS.rst
@@ -23,3 +23,4 @@ Contributors
 * Noah Pendleton
 * John Vandenberg
 * Ben Mares
+* Michał Górny
diff --git a/src/pyscaffold/dependencies.py b/src/pyscaffold/dependencies.py
index 1f70b67d1..7a4d961f6 100644
--- a/src/pyscaffold/dependencies.py
+++ b/src/pyscaffold/dependencies.py
@@ -8,7 +8,7 @@
 
 # setuptools version is now enforced via `install_requires`
 
-BUILD = ("setuptools_scm>=5", "wheel")
+BUILD = ("setuptools_scm>=5",)
 """Dependencies that will be required to build the created project"""
 RUNTIME = ('importlib-metadata; python_version<"3.8"',)
 # TODO: Remove `importlib-metadata` when `python_requires = >= 3.8`
@@ -22,10 +22,6 @@
 # version 46.1.0 fix a bug with setuptools.finalize_distribution_options,
 # which is a hook used by setuptools_scm (better safe then sorry).
 
-# TODO: Maybe specify a min version for wheel?
-#       For the time being, there is an issue preventing us to do that:
-#       https://github.com/pypa/pep517/issues/86
-
 REQ_SPLITTER = re.compile(r";(?!\s*(python|platform|implementation|os|sys)_)", re.M)
 """Regex to split requirements that considers both `setup.cfg specs`_ and `PEP 508`_
 (in a *good enough* simplified fashion).
diff --git a/tests/system/test_common.py b/tests/system/test_common.py
index 6c1a98814..904451a78 100644
--- a/tests/system/test_common.py
+++ b/tests/system/test_common.py
@@ -38,7 +38,7 @@ def test_ensure_inside_test_venv(putup):
     assert ".tox" in putup
 
 
-BUILD_DEPS = ["wheel", "setuptools_scm"]
+BUILD_DEPS = ["setuptools_scm"]
 
 
 def test_putup(cwd, putup):
diff --git a/tests/test_update.py b/tests/test_update.py
index 5013e5b06..b06cf0413 100644
--- a/tests/test_update.py
+++ b/tests/test_update.py
@@ -331,7 +331,7 @@ def pyproject_from_old_extension(tmpfolder):
     """Old pyproject.toml file as produced by pyscaffoldext-pyproject"""
     config = """\
     [build-system]
-    requires = ["setuptools", "wheel"]
+    requires = ["setuptools"]
     """
     pyproject = Path(tmpfolder) / "pyproject.toml"
     pyproject.write_text(dedent(config))