diff --git a/src/Interfaces/LazySet.jl b/src/Interfaces/LazySet.jl
index ee034cf5a1..9af8dee6b8 100644
--- a/src/Interfaces/LazySet.jl
+++ b/src/Interfaces/LazySet.jl
@@ -1182,6 +1182,13 @@ We apply the function `linear_map`.
                          ::Nothing=nothing,
                          n::Int=dim(S)
                         ) where {N}
+    return _project_linear_map(S, block, n)
+end
+
+@inline function _project_linear_map(S::LazySet{N},
+                                     block::AbstractVector{Int},
+                                     n::Int=dim(S)
+                                    ) where {N}
     M = projection_matrix(block, n, N)
     return linear_map(M, S)
 end
diff --git a/src/LazyOperations/CartesianProduct.jl b/src/LazyOperations/CartesianProduct.jl
index 3cf0ab92a7..7d265cf480 100644
--- a/src/LazyOperations/CartesianProduct.jl
+++ b/src/LazyOperations/CartesianProduct.jl
@@ -298,7 +298,7 @@ end
 function project(cp::CartesianProduct, block::AbstractVector{Int})
     res = _project_cp_same_block(cp, block)
     if res == nothing
-        res = invoke(project, Tuple{LazySet, typeof(block)}, cp, block)
+        res = _project_linear_map(cp, block)
     end
     return res
 end