diff --git a/src/enzyme.jl b/src/enzyme.jl
index 2469fb1a..3f4b391b 100644
--- a/src/enzyme.jl
+++ b/src/enzyme.jl
@@ -111,6 +111,7 @@ function SparseEnzymeADJacobian(
   c!;
   x0::AbstractVector = rand(nvar),
   coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:direct}(
+    decompression_uplo = :L,
     postprocessing = true,
   ),
   detector::AbstractSparsityDetector = TracerSparsityDetector(),
@@ -133,6 +134,7 @@ function SparseEnzymeADJacobian(
   J::SparseMatrixCSC{Bool, Int};
   x0::AbstractVector{T} = rand(nvar),
   coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:direct}(
+    decompression_uplo = :L,
     postprocessing = true,
   ),
   show_time::Bool = false,
@@ -192,6 +194,7 @@ function SparseEnzymeADHessian(
   c!;
   x0::AbstractVector = rand(nvar),
   coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:substitution}(
+    decompression_uplo = :L,
     postprocessing = true,
   ),
   detector::AbstractSparsityDetector = TracerSparsityDetector(),
@@ -213,6 +216,7 @@ function SparseEnzymeADHessian(
   H::SparseMatrixCSC{Bool, Int};
   x0::AbstractVector{T} = rand(nvar),
   coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:substitution}(
+    decompression_uplo = :L,
     postprocessing = true,
   ),
   show_time::Bool = false,
@@ -533,14 +537,14 @@ end
 
         if b.coloring_mode == :direct
           # Update the coefficients of the lower triangular part of the Hessian that are related to the color `icol`
-          decompress_single_color!(A, b.compressed_hessian_icol, icol, b.result_coloring, :L)
+          decompress_single_color!(A, b.compressed_hessian_icol, icol, b.result_coloring)
         end
         if b.coloring_mode == :substitution
           view(b.compressed_hessian, :, icol) .= b.compressed_hessian_icol
         end
       end
       if b.coloring_mode == :substitution
-        decompress!(A, b.compressed_hessian, b.result_coloring, :L)
+        decompress!(A, b.compressed_hessian, b.result_coloring)
       end
       vals .= b.nzval
       return vals
diff --git a/src/sparse_hessian.jl b/src/sparse_hessian.jl
index e9fd3479..c73b4953 100644
--- a/src/sparse_hessian.jl
+++ b/src/sparse_hessian.jl
@@ -22,9 +22,7 @@ function SparseADHessian(
   ncon,
   c!;
   x0::AbstractVector = rand(nvar),
-  coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:direct}(
-    postprocessing = true,
-  ),
+  coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:direct}(decompression_uplo=:L, postprocessing=true),
   detector::AbstractSparsityDetector = TracerSparsityDetector(),
   show_time::Bool = false,
   kwargs...,
@@ -43,9 +41,7 @@ function SparseADHessian(
   c!,
   H::SparseMatrixCSC{Bool, Int64};
   x0::S = rand(nvar),
-  coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:direct}(
-    postprocessing = true,
-  ),
+  coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:direct}(decompression_uplo=:L, postprocessing=true),
   show_time::Bool = false,
   kwargs...,
 ) where {S}
@@ -147,9 +143,7 @@ function SparseReverseADHessian(
   ncon,
   c!;
   x0::AbstractVector = rand(nvar),
-  coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:substitution}(
-    postprocessing = true,
-  ),
+  coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:substitution}(decompression_uplo=:L, postprocessing=true),
   detector::AbstractSparsityDetector = TracerSparsityDetector(),
   show_time::Bool = false,
   kwargs...,
@@ -168,9 +162,7 @@ function SparseReverseADHessian(
   c!,
   H::SparseMatrixCSC{Bool, Int};
   x0::AbstractVector{T} = rand(nvar),
-  coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:substitution}(
-    postprocessing = true,
-  ),
+  coloring_algorithm::AbstractColoringAlgorithm = GreedyColoringAlgorithm{:substitution}(decompression_uplo=:L, postprocessing=true),
   show_time::Bool = false,
   kwargs...,
 ) where {T}
@@ -315,11 +307,11 @@ function sparse_hess_coord!(
     compressed_hessian_icol .= view(b.Hvp, (ncon + 1):(ncon + b.nvar))
     if b.coloring_mode == :direct
       # Update the coefficients of the lower triangular part of the Hessian that are related to the color `icol`
-      decompress_single_color!(A, compressed_hessian_icol, icol, b.result_coloring, :L)
+      decompress_single_color!(A, compressed_hessian_icol, icol, b.result_coloring)
     end
   end
   if b.coloring_mode == :substitution
-    decompress!(A, b.compressed_hessian, b.result_coloring, :L)
+    decompress!(A, b.compressed_hessian, b.result_coloring)
   end
   vals .= b.nzval
   return vals
@@ -362,11 +354,11 @@ function sparse_hess_coord!(
 
     if b.coloring_mode == :direct
       # Update the coefficients of the lower triangular part of the Hessian that are related to the color `icol`
-      decompress_single_color!(A, compressed_hessian_icol, icol, b.result_coloring, :L)
+      decompress_single_color!(A, compressed_hessian_icol, icol, b.result_coloring)
     end
   end
   if b.coloring_mode == :substitution
-    decompress!(A, b.compressed_hessian, b.result_coloring, :L)
+    decompress!(A, b.compressed_hessian, b.result_coloring)
   end
   vals .= b.nzval
   return vals
diff --git a/test/runtests.jl b/test/runtests.jl
index 21f8dfa4..0830f08a 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -39,47 +39,48 @@ list_sparse_jac_backend =
 end
 
 list_sparse_hess_backend = (
-  (
-    ADNLPModels.SparseADHessian,
+  (ADNLPModels.SparseADHessian,
     "star coloring with postprocessing",
-    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:direct}(postprocessing = true)),
+    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:direct}(decompression_uplo=:L, postprocessing=true)),
   ),
-  (
-    ADNLPModels.SparseADHessian,
+  (ADNLPModels.SparseADHessian,
     "star coloring without postprocessing",
-    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:direct}(postprocessing = false)),
+    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:direct}(decompression_uplo=:L, postprocessing=false)),
   ),
   (
     ADNLPModels.SparseADHessian,
     "acyclic coloring with postprocessing",
-    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:substitution}(postprocessing = true)),
+    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:substitution}(decompression_uplo=:L, postprocessing=true)),
   ),
   (
     ADNLPModels.SparseADHessian,
     "acyclic coloring without postprocessing",
-    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:substitution}(postprocessing = false)),
+    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:substitution}(decompression_uplo=:L, postprocessing=false)),
   ),
   (
     ADNLPModels.SparseReverseADHessian,
     "star coloring with postprocessing",
-    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:direct}(postprocessing = true)),
+    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:direct}(decompression_uplo=:L, postprocessing=true)),
   ),
   (
     ADNLPModels.SparseReverseADHessian,
     "star coloring without postprocessing",
-    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:direct}(postprocessing = false)),
+    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:direct}(decompression_uplo=:L, postprocessing=false)),
   ),
   (
     ADNLPModels.SparseReverseADHessian,
     "acyclic coloring with postprocessing",
-    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:substitution}(postprocessing = true)),
+    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:substitution}(decompression_uplo=:L, postprocessing=true)),
   ),
   (
     ADNLPModels.SparseReverseADHessian,
     "acyclic coloring without postprocessing",
-    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:substitution}(postprocessing = false)),
+    Dict(:coloring_algorithm => GreedyColoringAlgorithm{:substitution}(decompression_uplo=:L, postprocessing=false)),
+  ),
+  (ADNLPModels.ForwardDiffADHessian,
+    "default",
+    Dict(),
   ),
-  (ADNLPModels.ForwardDiffADHessian, "default", Dict()),
 )
 
 @testset "Sparse Hessian" begin