diff --git a/.github/workflows/tox.yml b/.github/workflows/tox.yml
index 060d7ac..fde2adb 100644
--- a/.github/workflows/tox.yml
+++ b/.github/workflows/tox.yml
@@ -27,14 +27,11 @@ jobs:
         with:
           virtualenvs-create: true
           virtualenvs-in-project: true
-      - name: Install Dependencies
+      - name: Install dependencies
         run: poetry install -v
-      - name: Upgrade embedded wheels in the virtualenv
-        # This is the recommended way to upgrade things like pip within the
-        # virtualenv.  If there is a vulnerability in pip, then Safety will
-        # alert on it, which is why it's important for these to be up-to-date.
-        # See: https://github.com/python-poetry/poetry/issues/1651#issuecomment-746486601
-        run: poetry run virtualenv --upgrade-embed-wheels
+      - name: Upgrade embedded tools within virtualenv
+        # Safety will alert on these even though they aren't technically dependencies
+        run: poetry run pip install --upgrade pip setuptools wheel
       - name: Run Tox test suite
         run: poetry run tox -c .toxrc -e "checks,coverage"
       - name: Upload coverage data to coveralls.io
diff --git a/run b/run
index 68a2f67..bbff286 100755
--- a/run
+++ b/run
@@ -10,9 +10,9 @@ run_install() {
       exit 1
    fi
 
-   # Upgrade packages within the virtualenv, like pip
-   # See: https://github.com/python-poetry/poetry/issues/1651#issuecomment-746486601
-   poetry run virtualenv --upgrade-embed-wheels --quiet | sed 's/^SystemExit: None/Completed updating embedded wheels/'
+   # Upgrade embedded packages within the virtualenv
+   # Safety will alert on these even though they aren't technically dependencies
+   poetry run pip install --quiet --upgrade pip setuptools wheel
    if [ $? != 0 ]; then
       exit 1
    fi