diff --git a/python/tvm/topi/x86/conv2d.py b/python/tvm/topi/x86/conv2d.py
index fcdd948260ea..25e8ffe94155 100644
--- a/python/tvm/topi/x86/conv2d.py
+++ b/python/tvm/topi/x86/conv2d.py
@@ -195,11 +195,13 @@ def conv2d_NCHWc(cfg, data, kernel, strides, padding, dilation, layout, out_layo
 
     cfg.define_split("tile_ic", in_channel, num_outputs=2)
     cfg.define_split("tile_oc", num_filter, num_outputs=2)
-    cfg.define_split(
-        "tile_ow", ow, num_outputs=2, filter=lambda y: y.size[-1] <= 64, policy="verbose"
-    )
+    if isinstance(ow, (tvm.tir.IntImm, int)):
+        cfg.define_split(
+            "tile_ow", ow, num_outputs=2, filter=lambda y: y.size[-1] <= 64, policy="verbose"
+        )
     if is_kernel_1x1:
-        cfg.define_knob("tile_oh", [1, 2] if oh > 1 else [1])
+        if isinstance(oh, (tvm.tir.IntImm, int)):
+            cfg.define_knob("tile_oh", [1, 2] if oh > 1 else [1])
     else:
         cfg.define_knob("unroll_kw", [True, False])
 
diff --git a/tests/python/relay/test_any.py b/tests/python/relay/test_any.py
index 86af1ad1c38b..443637276e24 100644
--- a/tests/python/relay/test_any.py
+++ b/tests/python/relay/test_any.py
@@ -548,6 +548,8 @@ def verify_any_conv2d(
     data_layout="NCHW",
     kernel_layout="OIHW",
     use_cudnn=False,
+    targets=None,
+    disable_targets=None,
 ):
     mod = tvm.IRModule()
     dtype = "float32"
@@ -567,11 +569,17 @@ def verify_any_conv2d(
     data_np = np.random.uniform(size=static_data_shape).astype(dtype)
     kernel_np = np.random.uniform(size=kernel_shape).astype(dtype)
 
-    targets = None
     if use_cudnn and tvm.get_global_func("tvm.contrib.cudnn.conv2d.forward", True):
         targets = [("cuda -libs=cudnn", tvm.cuda(0))]
 
-    check_result([data_np, kernel_np], mod, ref_out_shape, assert_shape=True, targets=targets)
+    check_result(
+        [data_np, kernel_np],
+        mod,
+        ref_out_shape,
+        assert_shape=True,
+        targets=targets,
+        disable_targets=disable_targets,
+    )
 
 
 # TODO(@kevinthesun): Support dynamic input height and width.
@@ -627,6 +635,26 @@ def test_any_conv2d():
         data_layout="NHWC",
         kernel_layout="HWIO",
     )
+    verify_any_conv2d(
+        (relay.Any(), 64, relay.Any(), relay.Any()),
+        (64, 64, 3, 3),
+        (1, 1),
+        (1, 1),
+        (1, 1),
+        (1, 64, 224, 224),
+        (1, 64, 224, 224),
+        targets=[("llvm", tvm.cpu(0))],
+    )
+    verify_any_conv2d(
+        (relay.Any(), 64, relay.Any(), relay.Any()),
+        (64, 64, 1, 1),
+        (1, 1),
+        (0, 0),
+        (1, 1),
+        (1, 64, 224, 224),
+        (1, 64, 224, 224),
+        targets=[("llvm", tvm.cpu(0))],
+    )
 
 
 class TestAnyConv2dNCHWc: