diff --git a/DifferentiationInterface/src/first_order/jacobian.jl b/DifferentiationInterface/src/first_order/jacobian.jl
index f651c2d05..4c64b45bc 100644
--- a/DifferentiationInterface/src/first_order/jacobian.jl
+++ b/DifferentiationInterface/src/first_order/jacobian.jl
@@ -372,6 +372,35 @@ function _jacobian_aux(
     end
 end
 
+function _jacobian_aux(
+        f_or_f!y::FY,
+        prep::PushforwardJacobianPrep{SIG, <:BatchSizeSettings{1, false, true}},
+        backend::AbstractADType,
+        x,
+        contexts::Vararg{Context, C},
+    ) where {FY, SIG, C}
+    (; batched_seeds, seed_example, pushforward_prep) = prep
+
+    pushforward_prep_same = prepare_pushforward_same_point(
+        f_or_f!y..., pushforward_prep, backend, x, seed_example, contexts...
+    )
+
+    jac = stack(eachindex(batched_seeds); dims = 2) do a
+        dy = only(
+            pushforward(
+                f_or_f!y...,
+                pushforward_prep_same,
+                backend,
+                x,
+                batched_seeds[a],
+                contexts...,
+            )
+        )
+        return vec(dy)
+    end
+    return jac
+end
+
 function _jacobian_aux(
         f_or_f!y::FY,
         prep::PushforwardJacobianPrep{SIG, <:BatchSizeSettings{B, false, aligned}},
@@ -428,6 +457,34 @@ function _jacobian_aux(
     end
 end
 
+function _jacobian_aux(
+        f_or_f!y::FY,
+        prep::PullbackJacobianPrep{SIG, <:BatchSizeSettings{1, false, true}},
+        backend::AbstractADType,
+        x,
+        contexts::Vararg{Context, C},
+    ) where {FY, SIG, C}
+    (; batched_seeds, seed_example, pullback_prep) = prep
+
+    pullback_prep_same = prepare_pullback_same_point(
+        f_or_f!y..., pullback_prep, backend, x, seed_example, contexts...
+    )
+
+    jac = stack(eachindex(batched_seeds); dims = 1) do a
+        dx = only(
+            pullback(
+                f_or_f!y..., pullback_prep_same, backend, x, batched_seeds[a], contexts...
+            )
+        )
+        if eltype(x) <: Complex
+            return map(conj, vec(dx))
+        else
+            return vec(dx)
+        end
+    end
+    return jac
+end
+
 function _jacobian_aux(
         f_or_f!y::FY,
         prep::PullbackJacobianPrep{SIG, <:BatchSizeSettings{B, false, aligned}},
diff --git a/DifferentiationInterface/src/second_order/hessian.jl b/DifferentiationInterface/src/second_order/hessian.jl
index f8d74b4a4..5067f78c2 100644
--- a/DifferentiationInterface/src/second_order/hessian.jl
+++ b/DifferentiationInterface/src/second_order/hessian.jl
@@ -151,6 +151,27 @@ function hessian(
     return block
 end
 
+function hessian(
+        f::F,
+        prep::HVPGradientHessianPrep{SIG, <:BatchSizeSettings{1, false, true}},
+        backend::AbstractADType,
+        x,
+        contexts::Vararg{Context, C},
+    ) where {F, SIG, C}
+    check_prep(f, prep, backend, x, contexts...)
+    (; batched_seeds, seed_example, hvp_prep) = prep
+
+    hvp_prep_same = prepare_hvp_same_point(
+        f, hvp_prep, backend, x, seed_example, contexts...
+    )
+
+    hess = mapreduce(hcat, eachindex(batched_seeds)) do a
+        dg = only(hvp(f, hvp_prep_same, backend, x, batched_seeds[a], contexts...))
+        return vec(dg)
+    end
+    return hess
+end
+
 function hessian(
         f::F,
         prep::HVPGradientHessianPrep{SIG, <:BatchSizeSettings{B, false, aligned}},
diff --git a/DifferentiationInterface/test/Core/SimpleFiniteDiff/test.jl b/DifferentiationInterface/test/Core/SimpleFiniteDiff/test.jl
index 8ebf4bf95..0d8d0f703 100644
--- a/DifferentiationInterface/test/Core/SimpleFiniteDiff/test.jl
+++ b/DifferentiationInterface/test/Core/SimpleFiniteDiff/test.jl
@@ -74,7 +74,14 @@ end
         logging = LOGGING,
     )
 
-    test_differentiation(backends, complex_scenarios(); logging = LOGGING)
+    test_differentiation(
+        vcat(
+            backends[2:3],
+            AutoReverseFromPrimitive(AutoSimpleFiniteDiff(; chunksize = 1))
+        ),
+        complex_scenarios();
+        logging = LOGGING
+    )
 end
 
 @testset "Sparse" begin