diff --git a/pytensor/tensor/basic.py b/pytensor/tensor/basic.py
index 9302d6d67d..8f5c9181d0 100644
--- a/pytensor/tensor/basic.py
+++ b/pytensor/tensor/basic.py
@@ -1903,6 +1903,7 @@ class Split(COp):
     b == [3, 4]
     c == [5]
 
+    TODO: Don't make a copy in C impl
     """
 
     len_splits = None
@@ -1913,6 +1914,7 @@ class Split(COp):
 
     def __init__(self, len_splits):
         self.len_splits = int(len_splits)
+        self.view_map = {i: [0] for i in range(self.len_splits)}
 
     def __str__(self):
         return f"{self.__class__.__name__ }{{{self.len_splits}}}"
@@ -1949,7 +1951,7 @@ def perform(self, node, inputs, outputs):
 
         split_outs = np.split(x, np.cumsum(splits[:-1]), axis=axis)
         for i, out in enumerate(split_outs):
-            outputs[i][0] = out.copy()
+            outputs[i][0] = out
 
     def infer_shape(self, fgraph, node, in_shapes):
         axis = node.inputs[1]
diff --git a/tests/link/numba/test_tensor_basic.py b/tests/link/numba/test_tensor_basic.py
index 62aacff0a9..047bc18a98 100644
--- a/tests/link/numba/test_tensor_basic.py
+++ b/tests/link/numba/test_tensor_basic.py
@@ -4,10 +4,11 @@
 import pytensor.scalar as aes
 import pytensor.tensor as at
 import pytensor.tensor.basic as atb
-from pytensor import config
+from pytensor import config, function
 from pytensor.compile.sharedvalue import SharedVariable
 from pytensor.graph.basic import Constant
 from pytensor.graph.fg import FunctionGraph
+from pytensor.scalar import Add
 from pytensor.tensor.shape import Unbroadcast
 from tests.link.numba.test_basic import (
     compare_numba_and_py,
@@ -332,6 +333,30 @@ def test_Split(n_splits, axis, values, sizes):
     )
 
 
+def test_Split_view():
+    # https://github.com/pymc-devs/pytensor/issues/343
+    x1 = at.matrix("x1")
+    x2 = at.matrix("x2", shape=(None, 1))
+    v = at.vector("v", shape=(2,), dtype=int)
+    out = at.split(x1, v, n_splits=2, axis=1)[0] + x2
+
+    fn = function([x1, x2, v], out, mode="NUMBA")
+    # Check that the addition of split[0] and x2 is not in place
+    add_op = fn.maker.fgraph.outputs[0].owner.op
+    assert isinstance(add_op.scalar_op, Add)
+    assert not add_op.inplace_pattern
+
+    rng = np.random.default_rng(123)
+    test_x1 = rng.normal(size=(2, 2))
+    test_x2 = rng.normal(size=(2, 1))
+    test_v = np.array([1, 1])
+
+    np.testing.assert_allclose(
+        fn(test_x1, test_x2, test_v).copy(),
+        fn(test_x1, test_x2, test_v).copy(),
+    )
+
+
 @pytest.mark.parametrize(
     "val, offset",
     [
diff --git a/tests/tensor/rewriting/test_basic.py b/tests/tensor/rewriting/test_basic.py
index 06694f6a67..dd7c184073 100644
--- a/tests/tensor/rewriting/test_basic.py
+++ b/tests/tensor/rewriting/test_basic.py
@@ -1372,15 +1372,28 @@ def test_local_useless_split():
 
     f_rewritten(np.random.random((4, 4)).astype(config.floatX), [4])
     f_not_rewritten(np.random.random((4, 4)).astype(config.floatX), [1, 2, 1])
-    graph_rewritten = f_rewritten.maker.fgraph.toposort()
-    graph_not_rewritten = f_not_rewritten.maker.fgraph.toposort()
+    graph_rewritten = f_rewritten.maker.fgraph
+    graph_not_rewritten = f_not_rewritten.maker.fgraph
 
-    assert isinstance(graph_rewritten[-1].op, DeepCopyOp)
-    assert len(graph_not_rewritten) == 1
-    assert isinstance(graph_not_rewritten[0].op, Split)
+    assert all(
+        isinstance(out.owner.op, DeepCopyOp) for out in graph_not_rewritten.outputs
+    )
+    assert all(isinstance(out.owner.op, DeepCopyOp) for out in graph_rewritten.outputs)
+
+    assert sum(isinstance(node.op, Split) for node in graph_rewritten.apply_nodes) == 0
+    assert (
+        sum(isinstance(node.op, Split) for node in graph_not_rewritten.apply_nodes) == 1
+    )
+
+    assert sum(isinstance(node.op, Assert) for node in graph_rewritten.apply_nodes) == 2
+    assert (
+        sum(isinstance(node.op, Assert) for node in graph_not_rewritten.apply_nodes)
+        == 0
+    )
 
+    # The DeepCopy Ops don't have traces, so we can't check "all"
     assert check_stack_trace(f_rewritten, ops_to_check=[Assert])
-    assert check_stack_trace(f_not_rewritten, ops_to_check="all")
+    assert check_stack_trace(f_not_rewritten, ops_to_check=[Split])
 
 
 @pytest.mark.parametrize("i", list(range(1, 4)))
diff --git a/tests/tensor/test_basic.py b/tests/tensor/test_basic.py
index 804066ebb4..0be24733f1 100644
--- a/tests/tensor/test_basic.py
+++ b/tests/tensor/test_basic.py
@@ -11,7 +11,7 @@
 import pytensor.tensor.math as tm
 from pytensor import compile, config, function, shared
 from pytensor.compile.io import In, Out
-from pytensor.compile.mode import get_default_mode
+from pytensor.compile.mode import Mode, get_default_mode
 from pytensor.compile.ops import DeepCopyOp
 from pytensor.gradient import grad, hessian
 from pytensor.graph.basic import Apply
@@ -2002,45 +2002,65 @@ def test_split_static_shape(self):
         y = Split(2)(x, 0, [s, 5 - s])[0]
         assert y.type.shape == (None,)
 
-
-def test_join_inplace():
-    # Test join to work inplace.
-    #
-    # This function tests the case when several elements are passed to the
-    # join function but all except one of them are empty. In this case join
-    # should work inplace and the output should be the view of the non-empty
-    # element.
-    s = lscalar()
-    x = vector("x")
-    z = at.zeros((s,))
-
-    join = Join(view=0)
-    c = join(0, x, z, z)
-
-    f = pytensor.function([In(x, borrow=True), s], Out(c, borrow=True))
-
-    data = np.array([3, 4, 5], dtype=config.floatX)
-
-    if config.mode not in ["DebugMode", "DEBUG_MODE"]:
-        assert f(data, 0) is data
-    assert np.allclose(f(data, 0), [3, 4, 5])
-
-
-def test_join_oneInput():
-    # Test join when only 1 input is given.
-    #
-    # This functions tests the case when concatenate is called
-    # on an array of tensors but the array has only one element.
-    # In this case, we would like to avoid the computational
-    # overhead of concatenation of one element.
-    x_0 = fmatrix()
-    x_1 = fmatrix()
-    x_2 = fvector()
-    join_0 = at.concatenate([x_0], axis=1)
-    join_1 = at.concatenate([x_0, x_1, shape_padright(x_2)], axis=1)
-
-    assert join_0 is x_0
-    assert join_1 is not x_0
+    def test_join_inplace(self):
+        # Test join to work inplace.
+        #
+        # This function tests the case when several elements are passed to the
+        # join function but all except one of them are empty. In this case join
+        # should work inplace and the output should be the view of the non-empty
+        # element.
+        s = lscalar()
+        x = vector("x")
+        z = at.zeros((s,))
+
+        join = Join(view=0)
+        c = join(0, x, z, z)
+
+        f = pytensor.function([In(x, borrow=True), s], Out(c, borrow=True))
+
+        data = np.array([3, 4, 5], dtype=config.floatX)
+
+        if config.mode not in ["DebugMode", "DEBUG_MODE"]:
+            assert f(data, 0) is data
+        assert np.allclose(f(data, 0), [3, 4, 5])
+
+    def test_join_oneInput(self):
+        # Test join when only 1 input is given.
+        #
+        # This functions tests the case when concatenate is called
+        # on an array of tensors but the array has only one element.
+        # In this case, we would like to avoid the computational
+        # overhead of concatenation of one element.
+        x_0 = fmatrix()
+        x_1 = fmatrix()
+        x_2 = fvector()
+        join_0 = at.concatenate([x_0], axis=1)
+        join_1 = at.concatenate([x_0, x_1, shape_padright(x_2)], axis=1)
+
+        assert join_0 is x_0
+        assert join_1 is not x_0
+
+    @pytest.mark.parametrize("linker", ("py", "c"))
+    def test_split_view(self, linker):
+        x = vector("x")
+        axis = 0
+        op = Split(len_splits=3)
+        assert op.view_map == {0: [0], 1: [0], 2: [0]}
+        splits = op(x, axis, [0, 3, 2])
+
+        mode = Mode(linker)
+        f = pytensor.function(
+            [In(x, borrow=True)], [Out(s, borrow=True) for s in splits], mode=mode
+        )
+        x_test = np.arange(5, dtype=config.floatX)
+        res = f(x_test)
+        for r, expected in zip(res, ([], [0, 1, 2], [3, 4])):
+            assert np.allclose(r, expected)
+            if linker == "py":
+                assert r.base is x_test
+            else:
+                # C impl always makes a copy
+                assert r.base is not x_test
 
 
 def test_TensorFromScalar():