diff --git a/src/solvers/dgsem_tree/dg_2d_parabolic.jl b/src/solvers/dgsem_tree/dg_2d_parabolic.jl
index e1c2daf8f08..1af77174fe2 100644
--- a/src/solvers/dgsem_tree/dg_2d_parabolic.jl
+++ b/src/solvers/dgsem_tree/dg_2d_parabolic.jl
@@ -936,7 +936,7 @@ end
 # This is because the parabolic fluxes are assumed to be of the form
 #   `du/dt + df/dx = dg/dx + source(x,t)`,
 # where f(u) is the inviscid flux and g(u) is the viscous flux.
-function apply_jacobian_parabolic!(du, mesh::Union{TreeMesh{2}, P4estMesh{2}},
+function apply_jacobian_parabolic!(du, mesh::TreeMesh{2},
                                    equations::AbstractEquationsParabolic, dg::DG, cache)
     @unpack inverse_jacobian = cache.elements
 
@@ -952,4 +952,22 @@ function apply_jacobian_parabolic!(du, mesh::Union{TreeMesh{2}, P4estMesh{2}},
 
     return nothing
 end
+
+function apply_jacobian_parabolic!(du, mesh::P4estMesh{2},
+                                   equations::AbstractEquationsParabolic,
+                                   dg::DG, cache)
+    @unpack inverse_jacobian = cache.elements
+
+    @threaded for element in eachelement(dg, cache)
+        for j in eachnode(dg), i in eachnode(dg)
+            factor = inverse_jacobian[i, j, element]
+
+            for v in eachvariable(equations)
+                du[v, i, j, element] *= factor
+            end
+        end
+    end
+
+    return nothing
+end
 end # @muladd
diff --git a/src/solvers/dgsem_tree/dg_3d_parabolic.jl b/src/solvers/dgsem_tree/dg_3d_parabolic.jl
index 34c75070d82..9f5aeb05c7d 100644
--- a/src/solvers/dgsem_tree/dg_3d_parabolic.jl
+++ b/src/solvers/dgsem_tree/dg_3d_parabolic.jl
@@ -1125,8 +1125,9 @@ end
 # This is because the parabolic fluxes are assumed to be of the form
 #   `du/dt + df/dx = dg/dx + source(x,t)`,
 # where f(u) is the inviscid flux and g(u) is the viscous flux.
-function apply_jacobian_parabolic!(du, mesh::Union{TreeMesh{3}, P4estMesh{3}},
-                                   equations::AbstractEquationsParabolic, dg::DG, cache)
+function apply_jacobian_parabolic!(du, mesh::TreeMesh{3},
+                                   equations::AbstractEquationsParabolic,
+                                   dg::DG, cache)
     @unpack inverse_jacobian = cache.elements
 
     @threaded for element in eachelement(dg, cache)
@@ -1141,4 +1142,22 @@ function apply_jacobian_parabolic!(du, mesh::Union{TreeMesh{3}, P4estMesh{3}},
 
     return nothing
 end
+
+function apply_jacobian_parabolic!(du, mesh::P4estMesh{3},
+                                   equations::AbstractEquationsParabolic,
+                                   dg::DG, cache)
+    @unpack inverse_jacobian = cache.elements
+
+    @threaded for element in eachelement(dg, cache)
+        for k in eachnode(dg), j in eachnode(dg), i in eachnode(dg)
+            factor = inverse_jacobian[i, j, k, element]
+
+            for v in eachvariable(equations)
+                du[v, i, j, k, element] *= factor
+            end
+        end
+    end
+
+    return nothing
+end
 end # @muladd
diff --git a/test/test_parabolic_2d.jl b/test/test_parabolic_2d.jl
index 22bc99692f2..27db6c57376 100644
--- a/test/test_parabolic_2d.jl
+++ b/test/test_parabolic_2d.jl
@@ -267,24 +267,16 @@ isdir(outdir) && rm(outdir, recursive=true)
   @trixi_testset "P4estMesh2D: elixir_advection_diffusion_periodic_curved.jl" begin
     @test_trixi_include(joinpath(examples_dir(), "p4est_2d_dgsem", "elixir_advection_diffusion_periodic_curved.jl"),
       trees_per_dimension = (1, 1), initial_refinement_level = 2, tspan=(0.0, 0.5),
-      l2 = [0.012380458938507371], 
-      linf = [0.10860506906472567]
-    )
-  end
-
-  @trixi_testset "P4estMesh2D: elixir_advection_diffusion_periodic_curved.jl" begin
-    @test_trixi_include(joinpath(examples_dir(), "p4est_2d_dgsem", "elixir_advection_diffusion_periodic_curved.jl"),
-      trees_per_dimension = (1, 1), initial_refinement_level = 2, tspan=(0.0, 0.5),
-      l2 = [0.012380458938507371], 
-      linf = [0.10860506906472567]
+      l2 = [0.006708147442490916], 
+      linf = [0.04807038397976693]
     )
   end
 
   @trixi_testset "P4estMesh2D: elixir_advection_diffusion_nonperiodic_curved.jl" begin
     @test_trixi_include(joinpath(examples_dir(), "p4est_2d_dgsem", "elixir_advection_diffusion_nonperiodic_curved.jl"),
       trees_per_dimension = (1, 1), initial_refinement_level = 2, tspan=(0.0, 0.5),
-      l2 = [0.04933902988507035], 
-      linf = [0.2550261714590271]
+      l2 = [0.00919917034843865], 
+      linf = [0.14186297438393505]
     )
   end