diff --git a/cpp/Brewfile b/cpp/Brewfile
index 0f5527985364c..ec611868d2e0f 100644
--- a/cpp/Brewfile
+++ b/cpp/Brewfile
@@ -37,7 +37,7 @@ brew "node"
 brew "openssl@3"
 brew "pkg-config"
 brew "protobuf"
-brew "python"
+brew "python@3.12"
 brew "rapidjson"
 brew "re2"
 brew "snappy"
diff --git a/dev/tasks/java-jars/github.yml b/dev/tasks/java-jars/github.yml
index 65b8e516e41ad..9910daa21ef37 100644
--- a/dev/tasks/java-jars/github.yml
+++ b/dev/tasks/java-jars/github.yml
@@ -117,7 +117,6 @@ jobs:
           for python_package in $(brew list | grep python@); do
             brew install --overwrite ${python_package}
           done
-          brew link --overwrite python@3.13
 
           brew bundle --file=arrow/cpp/Brewfile
           # We want to link aws-sdk-cpp statically but Homebrew's