diff --git a/src/Bijectors.jl b/src/Bijectors.jl
index e435ebf7..6991d446 100644
--- a/src/Bijectors.jl
+++ b/src/Bijectors.jl
@@ -243,8 +243,6 @@ end
 
 include("interface.jl")
 
-# Broadcasting here breaks Tracker for some reason
-maporbroadcast(f, x::AbstractArray{<:Any, N}...) where {N} = map(f, x...)
 maporbroadcast(f, x::AbstractArray...) = f.(x...)
 
 # optional dependencies
diff --git a/src/compat/reversediff.jl b/src/compat/reversediff.jl
index 61d61b03..9413cc35 100644
--- a/src/compat/reversediff.jl
+++ b/src/compat/reversediff.jl
@@ -1,7 +1,7 @@
 module ReverseDiffCompat
 
 using ..ReverseDiff: ReverseDiff, @grad, value, track, TrackedReal, TrackedVector, 
-    TrackedMatrix
+    TrackedMatrix, TrackedArray
 using Requires, LinearAlgebra
 
 using ..Bijectors: Log, SimplexBijector, maphcat, simplex_link_jacobian, 
@@ -46,6 +46,8 @@ function Base.maximum(d::LocationScale{<:TrackedReal})
     end
 end
 
+maporbroadcast(f, x::Union{AbstractArray, TrackedArray, AbstractArray{<:TrackedReal}}...) = f.(x...)
+
 logabsdetjac(b::Log{1}, x::Union{TrackedVector, TrackedMatrix}) = track(logabsdetjac, b, x)
 @grad function logabsdetjac(b::Log{1}, x::AbstractVector)
     return -sum(log, value(x)), Δ -> (nothing, -Δ ./ value(x))
diff --git a/src/compat/tracker.jl b/src/compat/tracker.jl
index cb8d6549..789d4f4c 100644
--- a/src/compat/tracker.jl
+++ b/src/compat/tracker.jl
@@ -12,6 +12,8 @@ using .Tracker: Tracker,
 using Compat: eachcol
 using LinearAlgebra
 
+# Broadcasting here breaks Tracker for some reason
+maporbroadcast(f, x::Union{AbstractArray, TrackedArray, AbstractArray{<:TrackedReal}}...) = map(f, x...)
 maporbroadcast(f, x::TrackedArray...) = f.(x...)
 function maporbroadcast(
     f,
diff --git a/test/ad/distributions.jl b/test/ad/distributions.jl
index 7f017fe0..264ea727 100644
--- a/test/ad/distributions.jl
+++ b/test/ad/distributions.jl
@@ -550,4 +550,10 @@
             )
         end
     end
+
+    @testset "Turing issue 1385" begin
+        dist = arraydist(truncated.(Laplace.(0, [1, 2]), -10.0, 70.0))
+        x = ReverseDiff.track(rand(dist))
+        @test typeof(bijector(dist)(x)) <: ReverseDiff.TrackedArray
+    end
 end