diff --git a/Formula/poetry.rb b/Formula/poetry.rb
index a6f51739317b..5db074105743 100644
--- a/Formula/poetry.rb
+++ b/Formula/poetry.rb
@@ -17,7 +17,8 @@ class Poetry < Formula
     sha256 cellar: :any_skip_relocation, x86_64_linux:   "e33f71e0e2507519a6f11ecf51fc9657f932d01676ddf98186c55931441d4116"
   end
 
-  depends_on "python@3.9"
+  depends_on "python@3.9" => :test
+  depends_on "python@3.10"
   depends_on "six"
 
   resource "backports.entry-points-selectable" do
@@ -80,11 +81,6 @@ class Poetry < Formula
     sha256 "9d643ff0a55b762d5cdb124b8eaa99c66322e2157b69160bc32796e824360e6d"
   end
 
-  resource "importlib-metadata" do
-    url "https://files.pythonhosted.org/packages/2e/6d/4508b1922b1610f6646fd95681fa1b0c092df35ec14018218f4638b7342a/importlib_metadata-4.8.2.tar.gz"
-    sha256 "75bdec14c397f528724c1bfd9709d660b33a4d2e77387a3358f20b848bb5e5fb"
-  end
-
   resource "keyring" do
     url "https://files.pythonhosted.org/packages/19/c7/e1a9c556745518c9c3d46613c10a968757b16e29341ec8e0815fd07e0f93/keyring-21.8.0.tar.gz"
     sha256 "1746d3ac913d449a090caf11e9e4af00e26c3f7f7e81027872192b2398b98675"
@@ -165,11 +161,6 @@ class Poetry < Formula
     sha256 "d7a454f319a7e9bd2e249f239168729327e4dd2d27b17dc68be264ad1ce36754"
   end
 
-  resource "typing-extensions" do
-    url "https://files.pythonhosted.org/packages/1a/23/748b0c9a5578110b31580c8d2643319adcb3ec91f601b50a955051b51f1d/typing_extensions-4.0.0.tar.gz"
-    sha256 "2cdf80e4e04866a9b3689a51869016d36db0814d84b8d8a568d22781d45d27ed"
-  end
-
   resource "urllib3" do
     url "https://files.pythonhosted.org/packages/80/be/3ee43b6c5757cabea19e75b8f46eaf05a2f5144107d7db48c7cf3a864f73/urllib3-1.26.7.tar.gz"
     sha256 "4987c65554f7a2dbf30c18fd48778ef124af6fab771a377103da0585e2336ece"
@@ -185,44 +176,13 @@ class Poetry < Formula
     sha256 "b36a1c245f2d304965eb4e0a82848379241dc04b865afcc4aab16748587e1923"
   end
 
-  resource "zipp" do
-    url "https://files.pythonhosted.org/packages/02/bf/0d03dbdedb83afec081fefe86cae3a2447250ef1a81ac601a9a56e785401/zipp-3.6.0.tar.gz"
-    sha256 "71c644c5369f4a6e07636f0aa966270449561fcea2e3d6747b8d23efaa9d7832"
-  end
-
   def install
-    xy = Language::Python.major_minor_version Formula["python@3.9"].opt_bin/"python3"
-
-    vendor_site_packages = libexec/"vendor/lib/python#{xy}/site-packages"
-    ENV.prepend_create_path "PYTHONPATH", vendor_site_packages
-    resources.each do |r|
-      r.stage do
-        system Formula["python@3.9"].opt_bin/"python3", *Language::Python.setup_install_args(libexec/"vendor")
-      end
-    end
-
-    site_packages = libexec/"lib/python#{xy}/site-packages"
-    ENV.prepend_create_path "PYTHONPATH", site_packages
-    system Formula["python@3.9"].opt_bin/"python3", *Language::Python.setup_install_args(libexec)
-
-    # We don't hardcode Homebrew Python here on purpose. See
-    # https://github.com/Homebrew/homebrew-core/issues/62910
-    (bin/"poetry").write <<~PYTHON
-      #!/usr/bin/env python3
-      import sys
-
-      sys.path.insert(0, "#{site_packages}")
-      sys.path.insert(0, "#{vendor_site_packages}")
-
-      if __name__ == "__main__":
-          from poetry.console import main
-          main()
-    PYTHON
+    virtualenv_install_with_resources
 
     # Install shell completions
-    (bash_completion/"poetry").write Utils.safe_popen_read("#{libexec}/bin/poetry", "completions", "bash")
-    (fish_completion/"poetry.fish").write Utils.safe_popen_read("#{libexec}/bin/poetry", "completions", "fish")
-    (zsh_completion/"_poetry").write Utils.safe_popen_read("#{libexec}/bin/poetry", "completions", "zsh")
+    (bash_completion/"poetry").write Utils.safe_popen_read(libexec/"bin/poetry", "completions", "bash")
+    (fish_completion/"poetry.fish").write Utils.safe_popen_read(libexec/"bin/poetry", "completions", "fish")
+    (zsh_completion/"_poetry").write Utils.safe_popen_read(libexec/"bin/poetry", "completions", "zsh")
   end
 
   test do
@@ -241,5 +201,16 @@ def install
     assert_predicate testpath/"homebrew/poetry.lock", :exist?
     assert_match "requests", (testpath/"homebrew/pyproject.toml").read
     assert_match "boto3", (testpath/"homebrew/pyproject.toml").read
+
+    # Check using different python versions
+    # See https://github.com/Homebrew/homebrew-core/issues/62910
+    pythons = deps.map(&:to_formula).select { |f| f.name.match?(/^python@3\.\d+$/) }
+    cd testpath/"homebrew" do
+      inreplace "pyproject.toml", /^python = "\^3.*"/, 'python = "^3"'
+      pythons.each do |python|
+        system bin/"poetry", "env", "use", python.opt_bin/"python3"
+        assert_match python.version.to_s, shell_output("#{bin}/poetry run python --version")
+      end
+    end
   end
 end
diff --git a/pypi_formula_mappings.json b/pypi_formula_mappings.json
index 9f3a5fbd94ef..124a7bff38de 100644
--- a/pypi_formula_mappings.json
+++ b/pypi_formula_mappings.json
@@ -237,8 +237,7 @@
     "exclude_packages": ["tabulate"]
   },
   "poetry": {
-    "exclude_packages": ["six"],
-    "extra_packages": ["importlib-metadata", "typing-extensions"]
+    "exclude_packages": ["six"]
   },
   "pre-commit": {
     "exclude_packages": ["six"]