diff --git a/Project.toml b/Project.toml
index 41f3134..7f34fa4 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,10 +1,11 @@
 name = "MLDataDevices"
 uuid = "7e8f7934-dd98-4c1a-8fe8-92b47a384d40"
 authors = ["Avik Pal <avikpal@mit.edu> and contributors"]
-version = "1.3.0"
+version = "1.4.0"
 
 [deps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
+Compat = "34da2185-b29b-5c13-b0c7-acf172513d20"
 Functors = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
 Preferences = "21216c6a-2e73-6563-6e65-726566657250"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
@@ -48,6 +49,7 @@ AMDGPU = "0.9.6, 1"
 Adapt = "4"
 CUDA = "5.2"
 ChainRulesCore = "1.23"
+Compat = "4.15"
 FillArrays = "1"
 Functors = "0.4.8"
 GPUArrays = "10, 11"
diff --git a/src/MLDataDevices.jl b/src/MLDataDevices.jl
index edf3b67..108d8bf 100644
--- a/src/MLDataDevices.jl
+++ b/src/MLDataDevices.jl
@@ -4,6 +4,7 @@ using Adapt: Adapt
 using Functors: Functors, fleaves
 using Preferences: @delete_preferences!, @load_preference, @set_preferences!
 using Random: AbstractRNG, Random
+using Compat: @compat
 
 abstract type AbstractDevice <: Function end
 abstract type AbstractCPUDevice <: AbstractDevice end
@@ -25,4 +26,6 @@ export get_device, get_device_type
 
 export DeviceIterator
 
+@compat(public, (isleaf,))
+
 end
diff --git a/src/public.jl b/src/public.jl
index 1dc1646..281980e 100644
--- a/src/public.jl
+++ b/src/public.jl
@@ -347,8 +347,8 @@ for (dev) in (:CPU, :CUDA, :AMDGPU, :Metal, :oneAPI, :XLA)
         end
         (D::$(ldev))(x::Union{Tuple, NamedTuple}) = map(D, x)
         function (D::$(ldev))(x)
-            Functors.isleaf(x) && return Adapt.adapt(D, x)
-            return Functors.fmap(D, x)
+            isleaf(x) && return Adapt.adapt(D, x)
+            return Functors.fmap(D, x; exclude=isleaf)
         end
     end
 end
@@ -380,3 +380,20 @@ for T in (AMDGPUDevice, AMDGPUDevice{Nothing}, CUDADevice,
     CUDADevice{Nothing}, MetalDevice, oneAPIDevice)
     @eval Adapt.adapt_storage(to::$(T), x::AbstractRange) = Adapt.adapt(to, collect(x))
 end
+
+"""
+    isleaf(x) -> Bool
+
+Returns `true` if `x` is a leaf node in the data structure.
+
+Defining `MLDataDevices.isleaf(x::T) = true` for custom types
+can be used to customize the behavior the data movement behavior
+when an object with nested structure containing the type is transferred to a device.
+
+`Adapt.adapt_structure(::AbstractDevice, x::T)` or
+`Adapt.adapt_structure(::AbstractDevice, x::T)` will be called during
+data movement if `isleaf(x::T) == true`.
+
+If `MLDataDevices.isleaf(x::T)` is not defined, then it will fall back to `Functors.isleaf(x)`.
+"""
+isleaf(x) = Functors.isleaf(x)
diff --git a/test/misc_tests.jl b/test/misc_tests.jl
index f6ea454..942c2ff 100644
--- a/test/misc_tests.jl
+++ b/test/misc_tests.jl
@@ -3,6 +3,7 @@ using ArrayInterface: parameterless_type
 using ChainRulesTestUtils: test_rrule
 using ReverseDiff, Tracker, ForwardDiff
 using SparseArrays, FillArrays, Zygote, RecursiveArrayTools
+using Functors: Functors
 
 @testset "Issues Patches" begin
     @testset "#10 patch" begin
@@ -157,3 +158,23 @@ end
     @test get_device(x) isa MLDataDevices.UnknownDevice
     @test get_device_type(x) <: MLDataDevices.UnknownDevice
 end
+
+@testset "isleaf" begin
+    # Functors.isleaf fallback
+    @test MLDataDevices.isleaf(rand(2))
+    @test !MLDataDevices.isleaf((rand(2),))
+
+    struct Tleaf
+        x::Any
+    end
+    Functors.@functor Tleaf
+    MLDataDevices.isleaf(::Tleaf) = true
+    Adapt.adapt_structure(dev::CPUDevice, t::Tleaf) = Tleaf(2 .* dev(t.x))
+
+    cpu = cpu_device()
+    t = Tleaf(ones(2))
+    y = cpu(t)
+    @test y.x == 2 .* ones(2)
+    y = cpu([(t,)])
+    @test y[1][1].x == 2 .* ones(2)
+end
diff --git a/test/runtests.jl b/test/runtests.jl
index 7fecc81..f3f2596 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -23,7 +23,7 @@ end
     all_files = ["cuda_tests.jl", "amdgpu_tests.jl",
         "metal_tests.jl", "oneapi_tests.jl", "xla_tests.jl"]
     file_names = BACKEND_GROUP == "all" ? all_files :
-                 (BACKEND_GROUP == "cpu" ? [] : [BACKEND_GROUP * "_tests.jl"])
+                 BACKEND_GROUP ∈ ("cpu", "none") ? [] : [BACKEND_GROUP * "_tests.jl"]
     @testset "$(file_name)" for file_name in file_names
         run(`$(Base.julia_cmd()) --color=yes --project=$(dirname(Pkg.project().path))
              --startup-file=no --code-coverage=user $(@__DIR__)/$file_name`)