diff --git a/bump-packages/README.md b/bump-packages/README.md
index 7ce3dc4e..d401d5cc 100644
--- a/bump-packages/README.md
+++ b/bump-packages/README.md
@@ -31,4 +31,7 @@ If there are no outdated packages, the Action will just exit.
       ...
     # Do not use a fork for opening PR's
     fork: false
+    # Fully-qualified names, e.g. user/tap/formula, are detected automatically.
+    # Set this to force --full-name for short names too.
+    full-name: true
 ```
diff --git a/bump-packages/action.test.mts b/bump-packages/action.test.mts
index 54a07380..dafb4388 100644
--- a/bump-packages/action.test.mts
+++ b/bump-packages/action.test.mts
@@ -75,6 +75,35 @@ describe("bump-packages action", () => {
     ]);
   });
 
+  it("bumps fully-qualified formulae with --full-name automatically", () => {
+    assert.deepEqual(brewBumpArgs("Bump formulae", {
+      INPUT_FORMULAE: "user/tap/foo",
+      INPUT_FORK: "false",
+    }), [
+      "bump",
+      "--no-fork",
+      "--full-name",
+      "--open-pr",
+      "--formulae",
+      "user/tap/foo",
+    ]);
+  });
+
+  it("forces --full-name for short formula names", () => {
+    assert.deepEqual(brewBumpArgs("Bump formulae", {
+      INPUT_FORMULAE: "foo",
+      INPUT_FORK: "false",
+      INPUT_FULL_NAME: "true",
+    }), [
+      "bump",
+      "--no-fork",
+      "--full-name",
+      "--open-pr",
+      "--formulae",
+      "foo",
+    ]);
+  });
+
   it("bumps casks with --no-fork when not using a fork", () => {
     assert.deepEqual(brewBumpArgs("Bump casks", { INPUT_CASKS: "baz qux", INPUT_FORK: "false" }), [
       "bump",
@@ -85,4 +114,33 @@ describe("bump-packages action", () => {
       "qux",
     ]);
   });
+
+  it("bumps fully-qualified casks with --full-name automatically", () => {
+    assert.deepEqual(brewBumpArgs("Bump casks", {
+      INPUT_CASKS: "user/tap/baz",
+      INPUT_FORK: "false",
+    }), [
+      "bump",
+      "--no-fork",
+      "--full-name",
+      "--open-pr",
+      "--casks",
+      "user/tap/baz",
+    ]);
+  });
+
+  it("forces --full-name for short cask names", () => {
+    assert.deepEqual(brewBumpArgs("Bump casks", {
+      INPUT_CASKS: "baz",
+      INPUT_FORK: "false",
+      INPUT_FULL_NAME: "true",
+    }), [
+      "bump",
+      "--no-fork",
+      "--full-name",
+      "--open-pr",
+      "--casks",
+      "baz",
+    ]);
+  });
 });
diff --git a/bump-packages/action.yml b/bump-packages/action.yml
index ad3ebadb..8085ffc7 100644
--- a/bump-packages/action.yml
+++ b/bump-packages/action.yml
@@ -20,6 +20,10 @@ inputs:
     description: Use a fork when opening a PR
     required: false
     default: ${{ github.repository_owner != 'Homebrew' }}
+  full-name:
+    description: Force fully-qualified package names to brew bump
+    required: false
+    default: 'false'
 runs:
   using: composite
   steps:
@@ -30,33 +34,41 @@ runs:
 
     - name: Bump formulae
       run: |
-        if [[ "$INPUT_FORK" == "true" ]]; then
-          NO_FORK=""
-        else
-          NO_FORK="--no-fork"
+        args=()
+        if [[ "$INPUT_FORK" != "true" ]]; then
+          args+=(--no-fork)
         fi
         IFS=" " read -r -a formulae <<<"${INPUT_FORMULAE}"
-        brew bump $NO_FORK --open-pr --formulae "${formulae[@]}"
+        if [[ "$INPUT_FULL_NAME" == "true" || "${formulae[*]}" == */* ]]; then
+          args+=(--full-name)
+        fi
+        args+=(--open-pr)
+        brew bump "${args[@]}" --formulae "${formulae[@]}"
       shell: bash
       if: inputs.formulae != ''
       env:
         INPUT_FORMULAE: ${{ inputs.formulae }}
         INPUT_FORK: ${{ inputs.fork }}
+        INPUT_FULL_NAME: ${{ inputs.full-name }}
         HOMEBREW_DEVELOPER: "1"
         HOMEBREW_GITHUB_API_TOKEN: ${{ inputs.token }}
     - name: Bump casks
       run: |
-        if [[ "$INPUT_FORK" == "true" ]]; then
-          NO_FORK=""
-        else
-          NO_FORK="--no-fork"
+        args=()
+        if [[ "$INPUT_FORK" != "true" ]]; then
+          args+=(--no-fork)
         fi
         IFS=" " read -r -a casks <<<"${INPUT_CASKS}"
-        brew bump $NO_FORK --open-pr --casks "${casks[@]}"
+        if [[ "$INPUT_FULL_NAME" == "true" || "${casks[*]}" == */* ]]; then
+          args+=(--full-name)
+        fi
+        args+=(--open-pr)
+        brew bump "${args[@]}" --casks "${casks[@]}"
       shell: bash
       if: inputs.casks != ''
       env:
         INPUT_CASKS: ${{ inputs.casks }}
         INPUT_FORK: ${{ inputs.fork }}
+        INPUT_FULL_NAME: ${{ inputs.full-name }}
         HOMEBREW_DEVELOPER: "1"
         HOMEBREW_GITHUB_API_TOKEN: ${{ inputs.token }}