diff --git a/tests/test_flash_attn.py b/tests/test_flash_attn.py
index 82163f970..53f8f444f 100644
--- a/tests/test_flash_attn.py
+++ b/tests/test_flash_attn.py
@@ -1051,7 +1051,7 @@ def test_flash_attn_output(
 
     g = torch.randn_like(out)
     do_o = (g.float() * out.float()).sum(-1)
-    if (d <= MAX_HEADDIM_SM8x or (d > 224 and dropout_p == 0)) or (is_sm80 or is_sm90):
+    if ((d <= MAX_HEADDIM_SM8x or (d > 224 and dropout_p == 0)) or (is_sm80 or is_sm90)) and softcap == 0.0:
         if kvpacked:
             (
                 dq,
@@ -1107,7 +1107,7 @@ def test_flash_attn_output(
         if not alibi:
             assert abs(dropout_fraction - dropout_p) <= (0.01 if not local else 0.025)
 
-    if (d <= MAX_HEADDIM_SM8x or (d > 224 and dropout_p == 0)) or (is_sm80 or is_sm90):
+    if ((d <= MAX_HEADDIM_SM8x or (d > 224 and dropout_p == 0)) or (is_sm80 or is_sm90)) and softcap == 0.0:
         assert (dq - dq_ref).abs().max().item() <= 2 * (dq_pt - dq_ref).abs().max().item()
         assert (dk - dk_ref).abs().max().item() <= 2 * (dk_pt - dk_ref).abs().max().item()
         assert (dv - dv_ref).abs().max().item() <= 2 * (dv_pt - dv_ref).abs().max().item()
@@ -1365,7 +1365,7 @@ def test_flash_attn_varlen_output(
         print(f"Attention Pytorch max diff: {(attn_pt - attn_ref).abs().max().item()}")
 
     g = torch.randn_like(out)
-    if (d <= MAX_HEADDIM_SM8x or (d > 224 and dropout_p == 0)) or (is_sm80 or is_sm90):
+    if ((d <= MAX_HEADDIM_SM8x or (d > 224 and dropout_p == 0)) or (is_sm80 or is_sm90)) and softcap == 0.0:
         if kvpacked:
             (
                 dq_unpad,
@@ -1424,7 +1424,7 @@ def test_flash_attn_varlen_output(
         if not alibi:
             assert abs(dropout_fraction - dropout_p) <= (0.01 if not local else 0.025)
 
-    if (d <= MAX_HEADDIM_SM8x or (d > 224 and dropout_p == 0)) or (is_sm80 or is_sm90):
+    if ((d <= MAX_HEADDIM_SM8x or (d > 224 and dropout_p == 0)) or (is_sm80 or is_sm90)) and softcap == 0.0:
         assert (dq - dq_ref).abs().max().item() <= 3 * (dq_pt - dq_ref).abs().max().item()
         assert (dk - dk_ref).abs().max().item() <= 3 * (dk_pt - dk_ref).abs().max().item()
         assert (dv - dv_ref).abs().max().item() <= 3 * (dv_pt - dv_ref).abs().max().item()