diff --git a/egs/librispeech/ASR/pruned_transducer_stateless7/scaling.py b/egs/librispeech/ASR/pruned_transducer_stateless7/scaling.py
index 84c408c12..107d22671 100644
--- a/egs/librispeech/ASR/pruned_transducer_stateless7/scaling.py
+++ b/egs/librispeech/ASR/pruned_transducer_stateless7/scaling.py
@@ -396,8 +396,12 @@ class LinearWithAuxLossFunction(torch.autograd.Function):
         In the backward pass it will include an auxiliary loss based on predicting x from
         matmul(y, weight).
         """
+        if torch.is_autocast_enabled():
+            x = x.to(torch.float16)
         ctx.save_for_backward(x, weight, alpha)
         ctx.aux_grad_scale = aux_grad_scale
+        if torch.is_autocast_enabled():
+            weight = weight.to(torch.float16)
         return torch.matmul(x, weight.t())