diff --git a/backend/dropbox/dropbox.go b/backend/dropbox/dropbox.go
index f2f1fc852..520c5dbc2 100644
--- a/backend/dropbox/dropbox.go
+++ b/backend/dropbox/dropbox.go
@@ -47,6 +47,7 @@ import (
 	"github.com/rclone/rclone/fs/config/obscure"
 	"github.com/rclone/rclone/fs/fserrors"
 	"github.com/rclone/rclone/fs/hash"
+	"github.com/rclone/rclone/fs/operations"
 	"github.com/rclone/rclone/lib/batcher"
 	"github.com/rclone/rclone/lib/encoder"
 	"github.com/rclone/rclone/lib/oauthutil"
@@ -1020,13 +1021,20 @@ func (f *Fs) Precision() time.Duration {
 // Will only be called if src.Fs().Name() == f.Name()
 //
 // If it isn't possible then return fs.ErrorCantCopy
-func (f *Fs) Copy(ctx context.Context, src fs.Object, remote string) (fs.Object, error) {
+func (f *Fs) Copy(ctx context.Context, src fs.Object, remote string) (dst fs.Object, err error) {
 	srcObj, ok := src.(*Object)
 	if !ok {
 		fs.Debugf(src, "Can't copy - not same remote type")
 		return nil, fs.ErrorCantCopy
 	}
 
+	// Find and remove existing object
+	cleanup, err := operations.RemoveExisting(ctx, f, remote, "server side copy")
+	if err != nil {
+		return nil, err
+	}
+	defer cleanup(&err)
+
 	// Temporary Object under construction
 	dstObj := &Object{
 		fs:     f,
@@ -1040,7 +1048,6 @@ func (f *Fs) Copy(ctx context.Context, src fs.Object, remote string) (fs.Object,
 			ToPath:   f.opt.Enc.FromStandardPath(dstObj.remotePath()),
 		},
 	}
-	var err error
 	var result *files.RelocationResult
 	err = f.pacer.Call(func() (bool, error) {
 		result, err = f.srv.CopyV2(&arg)