diff --git a/src/essential/ad.jl b/src/essential/ad.jl
index 4f07c1eab..5dda65d0f 100644
--- a/src/essential/ad.jl
+++ b/src/essential/ad.jl
@@ -118,7 +118,7 @@ end
 for cache in (:true, :false)
     @eval begin
         function LogDensityProblemsAD.ADgradient(::ReverseDiffAD{$cache}, ℓ::Turing.LogDensityFunction)
-            return LogDensityProblemsAD.ADgradient(Val(:ReverseDiff), ℓ; compile=Val($cache))
+            return LogDensityProblemsAD.ADgradient(Val(:ReverseDiff), ℓ; compile=Val($cache), x=DynamicPPL.getparams(ℓ))
         end
     end
 end
diff --git a/test/essential/ad.jl b/test/essential/ad.jl
index c00f76f12..359101257 100644
--- a/test/essential/ad.jl
+++ b/test/essential/ad.jl
@@ -198,4 +198,18 @@
             end
         end
     end
+
+    @testset "ReverseDiff compiled without linking" begin
+        f = DynamicPPL.LogDensityFunction(gdemo_default)
+        θ = DynamicPPL.getparams(f)
+
+        f_rd = LogDensityProblemsAD.ADgradient(Turing.Essential.ReverseDiffAD{false}(), f)
+        f_rd_compiled = LogDensityProblemsAD.ADgradient(Turing.Essential.ReverseDiffAD{true}(), f)
+
+        ℓ, ℓ_grad = LogDensityProblems.logdensity_and_gradient(f_rd, θ)
+        ℓ_compiled, ℓ_grad_compiled = LogDensityProblems.logdensity_and_gradient(f_rd_compiled, θ)
+
+        @test ℓ == ℓ_compiled
+        @test ℓ_grad == ℓ_grad_compiled
+    end
 end
diff --git a/test/optimisation/OptimInterface.jl b/test/optimisation/OptimInterface.jl
index 2418037a4..5ac338876 100644
--- a/test/optimisation/OptimInterface.jl
+++ b/test/optimisation/OptimInterface.jl
@@ -151,6 +151,9 @@ end
             DynamicPPL.TestUtils.demo_dot_assume_observe_submodel,
             DynamicPPL.TestUtils.demo_dot_assume_dot_observe_matrix,
             DynamicPPL.TestUtils.demo_dot_assume_matrix_dot_observe_matrix,
+            DynamicPPL.TestUtils.demo_assume_submodel_observe_index_literal,
+            DynamicPPL.TestUtils.demo_dot_assume_observe_index_literal,
+            DynamicPPL.TestUtils.demo_assume_matrix_dot_observe_matrix
         ]
         @testset "MLE for $(model.f)" for model in DynamicPPL.TestUtils.DEMO_MODELS
             result_true = DynamicPPL.TestUtils.likelihood_optima(model)