diff --git a/backend/compress/compress_test.go b/backend/compress/compress_test.go
index 9271ead78..76baf22aa 100644
--- a/backend/compress/compress_test.go
+++ b/backend/compress/compress_test.go
@@ -6,18 +6,17 @@ import (
 	"path/filepath"
 	"testing"
 
-	_ "github.com/rclone/rclone/backend/dropbox"
+	_ "github.com/rclone/rclone/backend/drive"
 	_ "github.com/rclone/rclone/backend/local"
+	_ "github.com/rclone/rclone/backend/s3"
+	_ "github.com/rclone/rclone/backend/swift"
 	"github.com/rclone/rclone/fstest"
 	"github.com/rclone/rclone/fstest/fstests"
 )
 
 // TestIntegration runs integration tests against the remote
 func TestIntegration(t *testing.T) {
-	if *fstest.RemoteName == "" {
-		t.Skip("Skipping as -remote not set")
-	}
-	fstests.Run(t, &fstests.Opt{
+	opt := fstests.Opt{
 		RemoteName: *fstest.RemoteName,
 		NilObject:  (*Object)(nil),
 		UnimplementableFsMethods: []string{
@@ -29,11 +28,9 @@ func TestIntegration(t *testing.T) {
 			"UserInfo",
 			"Disconnect",
 		},
-		UnimplementableObjectMethods: []string{
-			"GetTier",
-			"SetTier",
-		},
-	})
+		TiersToTest:                  []string{"STANDARD", "STANDARD_IA"},
+		UnimplementableObjectMethods: []string{}}
+	fstests.Run(t, &opt)
 }
 
 // TestRemoteGzip tests GZIP compression
diff --git a/fstest/test_all/config.yaml b/fstest/test_all/config.yaml
index 3d85a592c..8f87edd9b 100644
--- a/fstest/test_all/config.yaml
+++ b/fstest/test_all/config.yaml
@@ -85,9 +85,20 @@ backends:
    fastlist: true
    maxfile:  1k
  ## end chunker
+ ## begin compress
  - backend:  "compress"
    remote:   "TestCompress:"
    fastlist: false
+ - backend:  "compress"
+   remote:   "TestCompressSwift:"
+   fastlist: false
+ - backend:  "compress"
+   remote:   "TestCompressDrive:"
+   fastlist: false
+ - backend:  "compress"
+   remote:   "TestCompressS3:"
+   fastlist: false
+## end compress
  - backend:  "drive"
    remote:   "TestDrive:"
    fastlist: true