diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml
index 7dc92a393f..cf30799ccd 100644
--- a/.github/workflows/CI.yml
+++ b/.github/workflows/CI.yml
@@ -89,6 +89,8 @@ jobs:
         test_group: [
           {test_type: 'ext', label: 'differentiation_interface'},
           {test_type: 'ext', label: 'differentiation_interface_second_order'},
+          {test_type: 'ext', label: 'differentiation_interface_second_order_hvp'},
+          {test_type: 'ext', label: 'differentiation_interface_second_order_derivative'},
           {test_type: 'ext', label: 'dynamic_expressions'},
           {test_type: 'ext', label: 'flux'},
           {test_type: 'ext', label: 'function_wrappers'},
diff --git a/src/rules/misty_closures.jl b/src/rules/misty_closures.jl
index 20a3b9e004..a9f5708130 100644
--- a/src/rules/misty_closures.jl
+++ b/src/rules/misty_closures.jl
@@ -32,9 +32,13 @@ end
 # reject our intentionally-older interpreter.
 #
 function _dual_mc(p::MistyClosure)
-    mc_world = UInt(p.oc.world)
-    interp = MooncakeInterpreter(DefaultCtx, ForwardMode; world=mc_world)
-    return build_frule(interp, p; skip_world_age_check=true)
+    return @static if VERSION ≤ v"1.12-"
+        build_frule(get_interpreter(ForwardMode), p)
+    else
+        mc_world = UInt(p.oc.world)
+        interp = MooncakeInterpreter(DefaultCtx, ForwardMode; world=mc_world)
+        build_frule(interp, p; skip_world_age_check=true)
+    end
 end
 
 tangent_type(::Type{<:MistyClosure}) = MistyClosureTangent
diff --git a/test/ext/differentiation_interface_second_order_derivative/Project.toml b/test/ext/differentiation_interface_second_order_derivative/Project.toml
new file mode 100644
index 0000000000..7639dd345f
--- /dev/null
+++ b/test/ext/differentiation_interface_second_order_derivative/Project.toml
@@ -0,0 +1,5 @@
+[deps]
+DifferentiationInterface = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
+DifferentiationInterfaceTest = "a82114a7-5aa3-49a8-9643-716bb13727a3"
+Mooncake = "da2b9cff-9c12-43a0-ae48-6db2b0edb7d6"
+Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
diff --git a/test/ext/differentiation_interface_second_order_derivative/differentiation_interface_second_order_derivative.jl b/test/ext/differentiation_interface_second_order_derivative/differentiation_interface_second_order_derivative.jl
new file mode 100644
index 0000000000..02fd7165b7
--- /dev/null
+++ b/test/ext/differentiation_interface_second_order_derivative/differentiation_interface_second_order_derivative.jl
@@ -0,0 +1,17 @@
+using Pkg
+Pkg.activate(@__DIR__)
+Pkg.develop(; path=joinpath(@__DIR__, "..", "..", ".."))
+
+using DifferentiationInterface, DifferentiationInterfaceTest
+using Mooncake: Mooncake
+
+function DifferentiationInterface.inner_preparation_behavior(::AutoMooncakeForward)
+    DifferentiationInterface.PrepareInnerSimple()
+end
+
+# Test second-order differentiation (forward-over-reverse)
+test_differentiation(
+    [SecondOrder(AutoMooncakeForward(; config=nothing), AutoMooncake(; config=nothing))];
+    excluded=[FIRST_ORDER..., :hvp, :hessian], # testing only :second_derivative
+    logging=true,
+)
diff --git a/test/ext/differentiation_interface_second_order_hvp/Project.toml b/test/ext/differentiation_interface_second_order_hvp/Project.toml
new file mode 100644
index 0000000000..7639dd345f
--- /dev/null
+++ b/test/ext/differentiation_interface_second_order_hvp/Project.toml
@@ -0,0 +1,5 @@
+[deps]
+DifferentiationInterface = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
+DifferentiationInterfaceTest = "a82114a7-5aa3-49a8-9643-716bb13727a3"
+Mooncake = "da2b9cff-9c12-43a0-ae48-6db2b0edb7d6"
+Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
diff --git a/test/ext/differentiation_interface_second_order_hvp/differentiation_interface_second_order_hvp.jl b/test/ext/differentiation_interface_second_order_hvp/differentiation_interface_second_order_hvp.jl
new file mode 100644
index 0000000000..4f03869fab
--- /dev/null
+++ b/test/ext/differentiation_interface_second_order_hvp/differentiation_interface_second_order_hvp.jl
@@ -0,0 +1,17 @@
+using Pkg
+Pkg.activate(@__DIR__)
+Pkg.develop(; path=joinpath(@__DIR__, "..", "..", ".."))
+
+using DifferentiationInterface, DifferentiationInterfaceTest
+using Mooncake: Mooncake
+
+function DifferentiationInterface.inner_preparation_behavior(::AutoMooncakeForward)
+    DifferentiationInterface.PrepareInnerSimple()
+end
+
+# Test second-order differentiation (forward-over-reverse)
+test_differentiation(
+    [SecondOrder(AutoMooncakeForward(; config=nothing), AutoMooncake(; config=nothing))];
+    excluded=[FIRST_ORDER..., :hessian, :second_derivative], # testing only hvp
+    logging=true,
+)