diff --git a/dlls/taskschd/task.c b/dlls/taskschd/task.c
index 5ff3761659e..c8f8fdf76b6 100644
--- a/dlls/taskschd/task.c
+++ b/dlls/taskschd/task.c
@@ -131,7 +131,8 @@ static HRESULT WINAPI TaskService_NewTask(ITaskService *iface, DWORD flags, ITas
 
 static inline BOOL is_variant_null(const VARIANT *var)
 {
-    return V_VT(var) == VT_EMPTY || V_VT(var) == VT_NULL;
+    return V_VT(var) == VT_EMPTY || V_VT(var) == VT_NULL ||
+          (V_VT(var) == VT_BSTR && (V_BSTR(var) == NULL || !*V_BSTR(var)));
 }
 
 static HRESULT WINAPI TaskService_Connect(ITaskService *iface, VARIANT server, VARIANT user, VARIANT domain, VARIANT password)
diff --git a/dlls/taskschd/tests/scheduler.c b/dlls/taskschd/tests/scheduler.c
index 12c89b6737b..152dd69dcee 100644
--- a/dlls/taskschd/tests/scheduler.c
+++ b/dlls/taskschd/tests/scheduler.c
@@ -30,6 +30,7 @@
 
 static void test_Connect(void)
 {
+    static WCHAR empty[] = { 0 };
     static const WCHAR deadbeefW[] = { '0','.','0','.','0','.','0',0 };
     WCHAR comp_name[MAX_COMPUTERNAME_LENGTH + 1];
     DWORD len;
@@ -75,13 +76,13 @@ static void test_Connect(void)
     hr = ITaskService_Connect(service, v_comp, v_null, v_null, v_null);
     ok(hr == S_OK || hr == E_ACCESSDENIED /* not an administrator */, "Connect error %#x\n", hr);
     was_connected = hr == S_OK;
-
     SysFreeString(V_BSTR(&v_comp));
-    V_BSTR(&v_comp) = SysAllocString(deadbeefW);
 
+    V_BSTR(&v_comp) = SysAllocString(deadbeefW);
     hr = ITaskService_Connect(service, v_comp, v_null, v_null, v_null);
 todo_wine
     ok(hr == HRESULT_FROM_WIN32(RPC_S_INVALID_NET_ADDR), "expected RPC_S_INVALID_NET_ADDR, got %#x\n", hr);
+    SysFreeString(V_BSTR(&v_comp));
 
     vbool = 0xdead;
     hr = ITaskService_get_Connected(service, &vbool);
@@ -89,6 +90,15 @@ todo_wine
     ok(vbool == VARIANT_FALSE || (was_connected && vbool == VARIANT_TRUE),
        "Connect shouldn't trash an existing connection, got %d (was connected %d)\n", vbool, was_connected);
 
+    V_BSTR(&v_comp) = SysAllocString(empty);
+    hr = ITaskService_Connect(service, v_comp, v_null, v_null, v_null);
+    ok(hr == S_OK, "Connect error %#x\n", hr);
+    SysFreeString(V_BSTR(&v_comp));
+
+    V_BSTR(&v_comp) = NULL;
+    hr = ITaskService_Connect(service, v_comp, v_null, v_null, v_null);
+    ok(hr == S_OK, "Connect error %#x\n", hr);
+
     hr = ITaskService_Connect(service, v_null, v_null, v_null, v_null);
     ok(hr == S_OK, "Connect error %#x\n", hr);
 
@@ -102,8 +112,6 @@ todo_wine
     ok(!lstrcmpW(comp_name, bstr), "compname %s != server name %s\n", wine_dbgstr_w(comp_name), wine_dbgstr_w(bstr));
     SysFreeString(bstr);
 
-    SysFreeString(V_BSTR(&v_comp));
-
     ITaskService_Release(service);
 }