diff --git a/src/_pytest/assertion/rewrite.py b/src/_pytest/assertion/rewrite.py
index 96ac0d9bf..14e6a2d52 100644
--- a/src/_pytest/assertion/rewrite.py
+++ b/src/_pytest/assertion/rewrite.py
@@ -639,8 +639,12 @@ class AssertionRewriter(ast.NodeVisitor):
        .push_format_context() and .pop_format_context() which allows
        to build another %-formatted string while already building one.
 
-    This state is reset on every new assert statement visited and used
-    by the other visitors.
+    :variables_overwrite: A dict filled with references to variables
+       that change value within an assert. This happens when a variable is
+       reassigned with the walrus operator
+
+    This state, except the variables_overwrite,  is reset on every new assert
+    statement visited and used by the other visitors.
     """
 
     def __init__(
@@ -974,7 +978,6 @@ class AssertionRewriter(ast.NodeVisitor):
         levels = len(boolop.values) - 1
         self.push_format_context()
         # Process each operand, short-circuiting if needed.
-        pytest_temp = None
         for i, v in enumerate(boolop.values):
             if i:
                 fail_inner: List[ast.stmt] = []
@@ -985,17 +988,14 @@ class AssertionRewriter(ast.NodeVisitor):
                 if (
                     isinstance(v, ast.Compare)
                     and isinstance(v.left, namedExpr)
-                    and (
-                        v.left.target.id
-                        in [
-                            ast_expr.id
-                            for ast_expr in boolop.values[:i]
-                            if hasattr(ast_expr, "id")
-                        ]
-                        or v.left.target.id == pytest_temp
-                    )
+                    and v.left.target.id
+                    in [
+                        ast_expr.id
+                        for ast_expr in boolop.values[:i]
+                        if hasattr(ast_expr, "id")
+                    ]
                 ):
-                    pytest_temp = util.compose_temp_variable(v.left.target.id)
+                    pytest_temp = self.variable()
                     self.variables_overwrite[v.left.target.id] = pytest_temp
                     v.left.target.id = pytest_temp
             self.push_format_context()
@@ -1092,7 +1092,7 @@ class AssertionRewriter(ast.NodeVisitor):
                 and isinstance(left_res, ast.Name)
                 and next_operand.target.id == left_res.id
             ):
-                next_operand.target.id = util.compose_temp_variable(left_res.id)
+                next_operand.target.id = self.variable()
                 self.variables_overwrite[left_res.id] = next_operand.target.id
             next_res, next_expl = self.visit(next_operand)
             if isinstance(next_operand, (ast.Compare, ast.BoolOp)):
diff --git a/src/_pytest/assertion/util.py b/src/_pytest/assertion/util.py
index e5bf201c7..fc5dfdbd5 100644
--- a/src/_pytest/assertion/util.py
+++ b/src/_pytest/assertion/util.py
@@ -520,7 +520,3 @@ def running_on_ci() -> bool:
     """Check if we're currently running on a CI system."""
     env_vars = ["CI", "BUILD_NUMBER"]
     return any(var in os.environ for var in env_vars)
-
-
-def compose_temp_variable(original_variable: str) -> str:
-    return f"pytest_{original_variable}_temp"