diff --git a/src/transformers/trainer.py b/src/transformers/trainer.py
index 144f9437335..5c01cbd0427 100755
--- a/src/transformers/trainer.py
+++ b/src/transformers/trainer.py
@@ -298,13 +298,13 @@ class Trainer:
         args: TrainingArguments = None,
         data_collator: Optional[DataCollator] = None,
         train_dataset: Optional[Dataset] = None,
-        eval_dataset: Optional[Dataset] = None,
+        eval_dataset: Optional[Union[Dataset, Dict[str, Dataset]]] = None,
         tokenizer: Optional[PreTrainedTokenizerBase] = None,
-        model_init: Callable[[], PreTrainedModel] = None,
+        model_init: Optional[Callable[[], PreTrainedModel]] = None,
         compute_metrics: Optional[Callable[[EvalPrediction], Dict]] = None,
         callbacks: Optional[List[TrainerCallback]] = None,
         optimizers: Tuple[torch.optim.Optimizer, torch.optim.lr_scheduler.LambdaLR] = (None, None),
-        preprocess_logits_for_metrics: Callable[[torch.Tensor, torch.Tensor], torch.Tensor] = None,
+        preprocess_logits_for_metrics: Optional[Callable[[torch.Tensor, torch.Tensor], torch.Tensor]] = None,
     ):
         if args is None:
             output_dir = "tmp_trainer"