diff --git a/src/default.jl b/src/default.jl
index b3c494df0..6604d3ade 100644
--- a/src/default.jl
+++ b/src/default.jl
@@ -71,17 +71,29 @@ end
 
 function defaultalg(A::Tridiagonal, b, assump::OperatorAssumptions{Bool})
     if assump.issq
-        DefaultLinearSolver(DefaultAlgorithmChoice.LUFactorization)
+        @static if VERSION>=v"1.11"
+            DirectLdiv!()
+        else
+            DefaultLinearSolver(DefaultAlgorithmChoice.LUFactorization)
+        end
     else
         DefaultLinearSolver(DefaultAlgorithmChoice.QRFactorization)
     end
 end
 
 function defaultalg(A::SymTridiagonal, b, ::OperatorAssumptions{Bool})
-    DefaultLinearSolver(DefaultAlgorithmChoice.LDLtFactorization)
+    @static if VERSION>=v"1.11"
+          DirectLdiv!()
+      else
+          DefaultLinearSolver(DefaultAlgorithmChoice.LUFactorization)
+      end
 end
 function defaultalg(A::Bidiagonal, b, ::OperatorAssumptions{Bool})
-    DefaultLinearSolver(DefaultAlgorithmChoice.DirectLdiv!)
+    @static if VERSION>=v"1.11"
+        DirectLdiv!()
+    else
+        DefaultLinearSolver(DefaultAlgorithmChoice.LUFactorization)
+    end
 end
 function defaultalg(A::Factorization, b, ::OperatorAssumptions{Bool})
     DefaultLinearSolver(DefaultAlgorithmChoice.DirectLdiv!)