diff --git a/crates/polars-expr/src/expressions/sortby.rs b/crates/polars-expr/src/expressions/sortby.rs
index 3d9877038adc..b3df9ee2316a 100644
--- a/crates/polars-expr/src/expressions/sortby.rs
+++ b/crates/polars-expr/src/expressions/sortby.rs
@@ -219,33 +219,58 @@ impl PhysicalExpr for SortByExpr {
             let nulls_last = prepare_bool_vec(&self.sort_options.nulls_last, self.by.len());
 
             let sorted_idx_f = || {
-                let s_sort_by = self
+                let mut needs_broadcast = false;
+                let mut broadcast_length = 1;
+
+                let mut s_sort_by = self
                     .by
                     .iter()
-                    .map(|e| {
-                        e.evaluate(df, state).map(|s| match s.dtype() {
+                    .enumerate()
+                    .map(|(i, e)| {
+                        let column = e.evaluate(df, state).map(|c| match c.dtype() {
                             #[cfg(feature = "dtype-categorical")]
-                            DataType::Categorical(_, _) | DataType::Enum(_, _) => s,
-                            _ => s.to_physical_repr(),
-                        })
+                            DataType::Categorical(_, _) | DataType::Enum(_, _) => c,
+                            _ => c.to_physical_repr(),
+                        })?;
+
+                        if column.len() == 1 && broadcast_length != 1 {
+                            polars_ensure!(
+                                e.is_scalar(),
+                                ShapeMismatch: "non-scalar expression produces broadcasting column",
+                            );
+
+                            return Ok(column.new_from_index(0, broadcast_length));
+                        }
+
+                        if broadcast_length != column.len() {
+                            polars_ensure!(
+                                broadcast_length == 1, ShapeMismatch:
+                                "`sort_by` produced different length ({}) than earlier Series' length in `by` ({})",
+                                broadcast_length, column.len()
+                            );
+
+                            needs_broadcast |= i > 0;
+                            broadcast_length = column.len();
+                        }
+
+                        Ok(column)
                     })
                     .collect::<PolarsResult<Vec<_>>>()?;
 
+                if needs_broadcast {
+                    for c in s_sort_by.iter_mut() {
+                        if c.len() != broadcast_length {
+                            *c = c.new_from_index(0, broadcast_length);
+                        }
+                    }
+                }
+
                 let options = self
                     .sort_options
                     .clone()
                     .with_order_descending_multi(descending)
                     .with_nulls_last_multi(nulls_last);
 
-                for i in 1..s_sort_by.len() {
-                    polars_ensure!(
-                        s_sort_by[0].len() == s_sort_by[i].len(),
-                        expr = self.expr, ShapeMismatch:
-                        "`sort_by` produced different length ({}) than earlier Series' length in `by` ({})",
-                        s_sort_by[0].len(), s_sort_by[i].len()
-                    );
-                }
-
                 s_sort_by[0]
                     .as_materialized_series()
                     .arg_sort_multiple(&s_sort_by[1..], &options)
diff --git a/py-polars/tests/unit/operations/test_sort.py b/py-polars/tests/unit/operations/test_sort.py
index 6f90f6744b61..dd06195e4fcd 100644
--- a/py-polars/tests/unit/operations/test_sort.py
+++ b/py-polars/tests/unit/operations/test_sort.py
@@ -1072,11 +1072,12 @@ def test_sort_string_nulls() -> None:
     ]
 
 
-@pytest.mark.may_fail_auto_streaming
 def test_sort_by_unequal_lengths_7207() -> None:
-    df = pl.DataFrame({"a": [0, 1, 1, 0], "b": [3, 2, 3, 2]})
-    with pytest.raises(pl.exceptions.ShapeError):
-        df.select(pl.col.a.sort_by(["a", 1]))
+    df = pl.DataFrame({"a": [0, 1, 1, 0]})
+    result = df.select(pl.arg_sort_by(["a", 1]))
+
+    expected = pl.DataFrame({"a": [0, 3, 1, 2]})
+    assert_frame_equal(result, expected, check_dtypes=False)
 
 
 def test_sort_literals() -> None: