diff --git a/src/LazyOperations/Rectification.jl b/src/LazyOperations/Rectification.jl
index a4e57da42e..246dcef340 100644
--- a/src/LazyOperations/Rectification.jl
+++ b/src/LazyOperations/Rectification.jl
@@ -113,6 +113,10 @@ isoperationtype(::Type{<:Rectification}) = true
 
 isconvextype(::Type{<:Rectification}) = false
 
+isconvextype(::Type{<:Rectification{N,<:AbstractHyperrectangle}}) where {N} = true
+isconvextype(::Type{<:Rectification{N,<:EmptySet}}) where {N} = true
+isconvextype(::Type{<:Rectification{N,<:Universe}}) where {N} = true
+
 function _compute_exact_representation!(R::Rectification)
     if isnothing(R.cache.set)
         R.cache.set = to_union_of_projections(R)
diff --git a/test/LazyOperations/Rectification.jl b/test/LazyOperations/Rectification.jl
index de97ad85be..3eb9096e4a 100644
--- a/test/LazyOperations/Rectification.jl
+++ b/test/LazyOperations/Rectification.jl
@@ -69,6 +69,12 @@ for N in [Float64, Rational{Int}, Float32]
     @test !isbounded(RI4) && !isboundedtype(typeof(RI4))
     @test !isbounded(Rectification(HalfSpace(N[-1], N(0))))
 
+    # isconvextype
+    @test !isconvextype(typeof(Rectification(Ball1(N[0, 0], N(1)))))
+    @test isconvextype(typeof(RI1))
+    @test isconvextype(typeof(Rectification(EmptySet{N}(2))))
+    @test isconvextype(typeof(Rectification(Universe{N}(2))))
+
     # conversion
     @test convert(Interval, RI1) == Interval(N(0), N(1))
     @test convert(Hyperrectangle, RB1) ==