diff --git a/Project.toml b/Project.toml
index d714e04..bc0c983 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,15 +1,17 @@
 name = "Adapt"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "4.1.1"
+version = "4.2.0"
 
 [deps]
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 Requires = "ae029012-a4dd-5104-9daa-d747884805df"
 
 [weakdeps]
+SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 
 [extensions]
+AdaptSparseArraysExt = "SparseArrays"
 AdaptStaticArraysExt = "StaticArrays"
 
 [compat]
@@ -17,10 +19,12 @@ Requires = "1"
 StaticArrays = "1"
 julia = "1.6"
 LinearAlgebra = "1"
+SparseArrays = "1"
 
 [extras]
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 
 [targets]
-test = ["StaticArrays", "Test"]
+test = ["SparseArrays", "StaticArrays", "Test"]
diff --git a/ext/AdaptSparseArraysExt.jl b/ext/AdaptSparseArraysExt.jl
new file mode 100644
index 0000000..09ee7d0
--- /dev/null
+++ b/ext/AdaptSparseArraysExt.jl
@@ -0,0 +1,11 @@
+module AdaptSparseArraysExt
+
+using Adapt
+isdefined(Base, :get_extension) ? (using SparseArrays) : (using ..SparseArrays)
+
+Adapt.adapt_storage(::Type{Array}, xs::SparseVector) = xs
+Adapt.adapt_storage(::Type{Array}, xs::SparseMatrixCSC) = xs
+Adapt.adapt_storage(::Type{Array{T}}, xs::SparseVector) where {T} = SparseVector{T}(xs)
+Adapt.adapt_storage(::Type{Array{T}}, xs::SparseMatrixCSC) where {T} = SparseMatrixCSC{T}(xs)
+
+end
diff --git a/src/Adapt.jl b/src/Adapt.jl
index 6910c8c..fe5f817 100644
--- a/src/Adapt.jl
+++ b/src/Adapt.jl
@@ -73,7 +73,12 @@ end
 
 @static if !isdefined(Base, :get_extension)
 function __init__()
-    @require StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" begin include("../ext/AdaptStaticArraysExt.jl") end
+    @require SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" begin
+        include("../ext/AdaptSparseArraysExt.jl")
+    end
+    @require StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" begin
+        include("../ext/AdaptStaticArraysExt.jl")
+    end
 end
 end
 
diff --git a/test/runtests.jl b/test/runtests.jl
index 27d9031..56e184c 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -224,6 +224,17 @@ end
     @test typeof(copy(adapt(CustomArray, bc))) == typeof(broadcast(f(mat), (mat,)))
 end
 
+@testset "SparseArrays" begin
+    using SparseArrays
+    m = sparse([1, 2], [2, 1], [1, 2])
+    @test_adapt Array m m
+    @test_adapt Array{Float64} m SparseMatrixCSC{Float64}(m)
+
+    v = sparsevec([1, 3], [1, 2])
+    @test_adapt Array v v
+    @test_adapt Array{Float64} v SparseVector{Float64}(v)
+end
+
 @testset "StaticArrays" begin
     using StaticArrays
     @test_adapt SArray{Tuple{3}} [1,2,3] SArray{Tuple{3}}([1,2,3])