diff --git a/src/similar_convert_copy.jl b/src/similar_convert_copy.jl
index d8cecc02..1a43265d 100644
--- a/src/similar_convert_copy.jl
+++ b/src/similar_convert_copy.jl
@@ -55,6 +55,12 @@ end
 function Base.convert(::Type{ComponentArray{T1,N,A1,Ax1}}, x::ComponentArray{T2,N,A2,Ax2}) where {T1,T2,N,A1,A2,Ax1,Ax2}
     return T1.(x)
 end
+function Base.convert(::Type{ComponentArray{T,N,A1,Ax}}, x::ComponentArray{T,N,A2,Ax}) where {T,N,A1,A2,Ax}
+    return x
+end
+function Base.convert(::Type{ComponentArray{T,N,A,Ax}}, x::ComponentArray{T,N,A,Ax}) where {T,N,A,Ax}
+    return x
+end
 Base.convert(T::Type{<:Array}, x::ComponentArray) = convert(T, getdata(x))
 
 Base.convert(::Type{Cholesky{T1,Matrix{T1}}}, x::Cholesky{T2,<:ComponentArray}) where {T1,T2} = Cholesky(Matrix{T1}(x.factors), x.uplo, x.info)
diff --git a/test/runtests.jl b/test/runtests.jl
index da0acf1d..8b9c6c6b 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -1,6 +1,7 @@
 using ComponentArrays
 using BenchmarkTools
 using ForwardDiff
+using Tracker
 using InvertedIndices
 using LabelledArrays
 using LinearAlgebra
@@ -400,6 +401,10 @@ end
 
     @test convert(Array, ca) == getdata(ca)
     @test convert(Matrix{Float32}, cmat) isa Matrix{Float32}
+
+    tr = Tracker.param(ca)
+    ca_ = convert(typeof(ca), tr)
+    @test ca_.a == ca.a
 end
 
 @testset "Broadcasting" begin