diff --git a/Library/Homebrew/test/version_spec.rb b/Library/Homebrew/test/version_spec.rb
index 2a0cf93629..c387836786 100644
--- a/Library/Homebrew/test/version_spec.rb
+++ b/Library/Homebrew/test/version_spec.rb
@@ -479,6 +479,12 @@ describe Version do
     specify "version internal dash" do
       expect(described_class.create("1.1-2"))
         .to be_detected_from("https://brew.sh/foo-arse-1.1-2.tar.gz")
+      expect(described_class.create("3.3.04-1"))
+        .to be_detected_from("https://brew.sh/3.3.04-1.tar.gz")
+      expect(described_class.create("1.2-20200102"))
+        .to be_detected_from("https://brew.sh/v1.2-20200102.tar.gz")
+      expect(described_class.create("3.6.6-0.2"))
+        .to be_detected_from("https://brew.sh/v3.6.6-0.2.tar.gz")
     end
 
     specify "version single digit" do
diff --git a/Library/Homebrew/version.rb b/Library/Homebrew/version.rb
index 97de346cc0..43919dc480 100644
--- a/Library/Homebrew/version.rb
+++ b/Library/Homebrew/version.rb
@@ -417,6 +417,14 @@ class Version
     # e.g. ruby-1.9.1-p243
     StemParser.new(/[_-](#{NUMERIC_WITH_DOTS}-(?:p|rc|RC)?\d+)#{CONTENT_SUFFIX}?$/),
 
+    # Hyphenated versions without software-name prefix (e.g. brew-)
+    # e.g. v0.0.8-12.tar.gz
+    # e.g. 3.3.04-1.tar.gz
+    # e.g. v2.1-20210510.tar.gz
+    # e.g. 2020.11.11-3.tar.gz
+    # e.g. v3.6.6-0.2
+    StemParser.new(/^v?(#{NUMERIC_WITH_DOTS}(?:-#{NUMERIC_WITH_OPTIONAL_DOTS})+)/),
+
     # URL with no extension
     # e.g. https://waf.io/waf-1.8.12
     # e.g. https://codeload.github.com/gsamokovarov/jump/tar.gz/v0.7.1