diff --git a/travis/run.sh b/travis/run.sh
index 1ca949158..3de12da9e 100755
--- a/travis/run.sh
+++ b/travis/run.sh
@@ -5,7 +5,16 @@ set -euxo pipefail
 if [ "$BACKEND" = "none" ]
 then
     PACKAGES=$(stack --install-ghc query locals | grep '^ *path' | sed 's@^ *path:@@' | grep -v 'persistent-test' )
-    exec stack $ARGS --no-terminal test --pedantic $PACKAGES
+
+    PEDANTIC="--pedantic"
+    # Turn off pedantic for lts-7, due to the sometimes invalid
+    # redundant constraint warnings.
+    if [ "$ARGS" = "--resolver lts-7" ]
+    then
+        PEDANTIC=""
+    fi
+
+    exec stack $ARGS --no-terminal test $PEDANTIC $PACKAGES
 else
     if [ "$BACKEND" = "postgresql" ]
     then