diff --git a/dev/tasks/homebrew-formulae/autobrew/apache-arrow.rb b/dev/tasks/homebrew-formulae/autobrew/apache-arrow.rb
index a5194eea3f7d0..b47d0edfe0dd7 100644
--- a/dev/tasks/homebrew-formulae/autobrew/apache-arrow.rb
+++ b/dev/tasks/homebrew-formulae/autobrew/apache-arrow.rb
@@ -35,6 +35,7 @@ class ApacheArrow < Formula
   depends_on "aws-sdk-cpp"
   depends_on "brotli"
   depends_on "lz4"
+  depends_on "openssl@1.1"
   depends_on "snappy"
   depends_on "thrift"
   depends_on "zstd"
diff --git a/r/tools/autobrew b/r/tools/autobrew
index f181309892174..35ffebcab3796 100644
--- a/r/tools/autobrew
+++ b/r/tools/autobrew
@@ -62,7 +62,7 @@ fi
 # Hardcode this for my custom autobrew build
 rm -f $BREWDIR/lib/*.dylib
 AWS_LIBS="-laws-cpp-sdk-config -laws-cpp-sdk-transfer -laws-cpp-sdk-identity-management -laws-cpp-sdk-cognito-identity -laws-cpp-sdk-sts -laws-cpp-sdk-s3 -laws-cpp-sdk-core -laws-c-event-stream -laws-checksums -laws-c-common -laws-crt-cpp -laws-c-io -laws-c-s3 -laws-c-auth -laws-c-http -laws-c-cal -laws-c-compression -laws-c-mqtt -lpthread -lcurl"
-PKG_LIBS="-lparquet -larrow_dataset -larrow_acero -larrow -larrow_bundled_dependencies -lthrift -lbrotlienc-static -lbrotlidec-static -lbrotlicommon-static -llz4 -lsnappy -lzstd $AWS_LIBS"
+PKG_LIBS="-lparquet -larrow_dataset -larrow_acero -larrow -larrow_bundled_dependencies -lthrift -lbrotlienc-static -lbrotlidec-static -lbrotlicommon-static -llz4 -lsnappy -lzstd $AWS_LIBS -lssl -lcrypto"
 PKG_DIRS="-L$BREWDIR/lib"
 
 # Prevent CRAN builder from linking against old libs in /usr/local/lib