diff --git a/dev/tasks/python-wheels/osx-build.sh b/dev/tasks/python-wheels/osx-build.sh
index 28f09c87daa..b299646add7 100755
--- a/dev/tasks/python-wheels/osx-build.sh
+++ b/dev/tasks/python-wheels/osx-build.sh
@@ -136,6 +136,7 @@ function build_wheel {
           -DBoost_NAMESPACE=arrow_boost \
           -DARROW_FLIGHT=ON \
           -DgRPC_SOURCE=SYSTEM \
+          -Dc-ares_SOURCE=BUNDLED \
           -DARROW_PROTOBUF_USE_SHARED=OFF \
           -DMAKE=make \
           ..
diff --git a/dev/tasks/python-wheels/travis.osx.yml b/dev/tasks/python-wheels/travis.osx.yml
index 5ac96f3c7d1..980d122305f 100644
--- a/dev/tasks/python-wheels/travis.osx.yml
+++ b/dev/tasks/python-wheels/travis.osx.yml
@@ -66,9 +66,9 @@ install:
   # the following functions are defined in osx-build.sh
   - build_wheel arrow
 
-  # test the built wheels, remove llvm and grpc to ensure they link statically
-  - brew uninstall llvm@7
-  - brew uninstall grpc
+  # test the built wheels, remove llvm and grpc dependencies to ensure
+  # things are properly statically-linked
+  - brew uninstall llvm@7 grpc c-ares
   - install_run arrow
 
   # move built wheels to a top level directory