diff --git a/.travis.yml b/.travis.yml
index 0a19cdee70d44..11beb8b3f0a32 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -47,17 +47,10 @@ jobs:
       env:
         ARCH: s390x
         ARROW_CI_MODULES: "CPP"
-        ARROW_COMPUTE: "OFF"
         ARROW_CSV: "OFF"
-        ARROW_DATASET: "OFF"
-        ARROW_FILESYSTEM: "OFF"
         ARROW_FLIGHT: "OFF"
         ARROW_GANDIVA: "OFF"
-        ARROW_HDFS: "OFF"
-        ARROW_IPC: "OFF"
-        ARROW_ORC: "OFF"
         ARROW_PARQUET: "OFF"
-        ARROW_PLASMA: "OFF"
         PARQUET_BUILD_EXAMPLES: "OFF"
         PARQUET_BUILD_EXECUTABLES: "OFF"
         DOCKER_IMAGE_ID: ubuntu-cpp
@@ -95,17 +88,10 @@ script:
     ulimit -c unlimited || :
   - |
     archery docker run \
-      -e ARROW_COMPUTE=${ARROW_COMPUTE:-ON} \
       -e ARROW_CSV=${ARROW_CSV:-ON} \
-      -e ARROW_DATASET=${ARROW_DATASET:-ON} \
-      -e ARROW_FILESYSTEM=${ARROW_FILESYSTEM:-ON} \
       -e ARROW_FLIGHT=${ARROW_FLIGHT:-OFF} \
       -e ARROW_GANDIVA=${ARROW_GANDIVA:-ON} \
-      -e ARROW_HDFS=${ARROW_HDFS:-ON} \
-      -e ARROW_IPC=${ARROW_IPC:-ON} \
-      -e ARROW_ORC=${ARROW_ORC:-ON} \
       -e ARROW_PARQUET=${ARROW_PARQUET:-ON} \
-      -e ARROW_PLASMA=${ARROW_PLASMA:-ON} \
       -e PARQUET_BUILD_EXAMPLES=${PARQUET_BUILD_EXAMPLES:-ON} \
       -e PARQUET_BUILD_EXECUTABLES=${PARQUET_BUILD_EXECUTABLES:-ON} \
       --volume ${PWD}/build:/build \