diff --git a/Project.toml b/Project.toml
index eadfae50..0488c683 100644
--- a/Project.toml
+++ b/Project.toml
@@ -21,6 +21,7 @@ ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
 KernelAbstractions = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
 Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
 MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
+Polyester = "f517fe37-dbe3-4b94-8317-1923a5111588"
 ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
 SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
@@ -32,6 +33,7 @@ Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 [extensions]
 RecursiveArrayToolsCUDAExt = "CUDA"
 RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
+RecursiveArrayToolsFastBroadcastPolyesterExt = ["FastBroadcast", "Polyester"]
 RecursiveArrayToolsForwardDiffExt = "ForwardDiff"
 RecursiveArrayToolsKernelAbstractionsExt = "KernelAbstractions"
 RecursiveArrayToolsMeasurementsExt = "Measurements"
@@ -59,6 +61,7 @@ Measurements = "2.11"
 MonteCarloMeasurements = "1.2"
 NLsolve = "4.5"
 Pkg = "1"
+Polyester = "0.7.16"
 PrecompileTools = "1.2.1"
 Random = "1"
 RecipesBase = "1.3.4"
@@ -86,6 +89,7 @@ Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
 MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
 NLsolve = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
 Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
+Polyester = "f517fe37-dbe3-4b94-8317-1923a5111588"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 SafeTestsets = "1bc83da4-3b8d-516f-aca4-4fe02f6d838f"
 SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
@@ -98,4 +102,4 @@ Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [targets]
-test = ["Aqua", "FastBroadcast", "ForwardDiff", "KernelAbstractions", "Measurements", "NLsolve", "Pkg", "Random", "SafeTestsets", "SparseArrays", "StaticArrays", "Statistics", "StructArrays", "Tables", "Test", "Unitful", "Zygote"]
+test = ["Aqua", "FastBroadcast", "ForwardDiff", "KernelAbstractions", "Measurements", "NLsolve", "Pkg", "Polyester", "Random", "SafeTestsets", "SparseArrays", "StaticArrays", "Statistics", "StructArrays", "Tables", "Test", "Unitful", "Zygote"]
diff --git a/ext/RecursiveArrayToolsFastBroadcastExt.jl b/ext/RecursiveArrayToolsFastBroadcastExt.jl
index 0bc7dc4a..f8d3ce3d 100644
--- a/ext/RecursiveArrayToolsFastBroadcastExt.jl
+++ b/ext/RecursiveArrayToolsFastBroadcastExt.jl
@@ -27,31 +27,25 @@ const AbstractVectorOfSArray = AbstractVectorOfArray{
     return dst
 end
 
-@inline function FastBroadcast.fast_materialize!(
-        ::Threaded, dst::AbstractVectorOfSArray,
-        bc::Broadcast.Broadcasted{S}
-    ) where {S}
-    if FastBroadcast.use_fast_broadcast(S)
-        Threads.@threads for i in 1:length(dst.u)
-            unpacked = RecursiveArrayTools.unpack_voa(bc, i)
-            dst.u[i] = StaticArraysCore.similar_type(dst.u[i])(
-                unpacked[j]
-                    for j in eachindex(unpacked)
-            )
-        end
-    else
-        Broadcast.materialize!(dst, bc)
-    end
-    return dst
-end
-
-# Fallback for non-SArray VectorOfArray: the generic threaded path splits
-# along the last axis via views, which does not correctly partition work for
+# Fallback for non-SArray VectorOfArray: the generic threaded path splits along
+# the last axis via views, which does not correctly partition work for
 # VectorOfArray. Fall back to serial broadcasting.
+# For SArray VectorOfArray, throw an informative error telling the user to
+# load Polyester.jl for threaded broadcasting.
 @inline function FastBroadcast.fast_materialize!(
         ::Threaded, dst::AbstractVectorOfArray,
         bc::Broadcast.Broadcasted
     )
+    # When Polyester is loaded, RecursiveArrayToolsFastBroadcastPolyesterExt
+    # defines more-specific methods for AbstractVectorOfSArray, so reaching
+    # this method with an SArray VoA means Polyester is not loaded.
+    if dst isa AbstractVectorOfSArray
+        error(
+            "Threaded FastBroadcast on VectorOfArray{SArray} requires Polyester.jl. " *
+                "Add `using Polyester` to enable threaded broadcasting, or use " *
+                "`@.. thread=false` for serial broadcasting."
+        )
+    end
     return FastBroadcast.fast_materialize!(Serial(), dst, bc)
 end
 
diff --git a/ext/RecursiveArrayToolsFastBroadcastPolyesterExt.jl b/ext/RecursiveArrayToolsFastBroadcastPolyesterExt.jl
new file mode 100644
index 00000000..2e6c2fc2
--- /dev/null
+++ b/ext/RecursiveArrayToolsFastBroadcastPolyesterExt.jl
@@ -0,0 +1,48 @@
+module RecursiveArrayToolsFastBroadcastPolyesterExt
+
+using RecursiveArrayTools
+using FastBroadcast
+using FastBroadcast: Serial, Threaded
+using Polyester
+using StaticArraysCore
+
+const AbstractVectorOfSArray = AbstractVectorOfArray{
+    T, N, <:AbstractVector{<:StaticArraysCore.SArray},
+} where {T, N}
+
+@inline function _polyester_fast_materialize!(
+        dst::AbstractVectorOfSArray,
+        bc::Broadcast.Broadcasted{S}
+    ) where {S}
+    if FastBroadcast.use_fast_broadcast(S)
+        @batch for i in 1:length(dst.u)
+            unpacked = RecursiveArrayTools.unpack_voa(bc, i)
+            dst.u[i] = StaticArraysCore.similar_type(dst.u[i])(
+                unpacked[j]
+                    for j in eachindex(unpacked)
+            )
+        end
+    else
+        Broadcast.materialize!(dst, bc)
+    end
+    return dst
+end
+
+@inline function FastBroadcast.fast_materialize!(
+        ::Threaded, dst::AbstractVectorOfSArray,
+        bc::Broadcast.Broadcasted{S}
+    ) where {S}
+    return _polyester_fast_materialize!(dst, bc)
+end
+
+# Disambiguation: this method is more specific than both the base ext's
+# (::Threaded, ::AbstractVectorOfArray, ::Broadcasted) fallback and
+# the above (::Threaded, ::AbstractVectorOfSArray, ::Broadcasted{S}).
+@inline function FastBroadcast.fast_materialize!(
+        ::Threaded, dst::AbstractVectorOfSArray,
+        bc::Broadcast.Broadcasted
+    )
+    return _polyester_fast_materialize!(dst, bc)
+end
+
+end # module
diff --git a/test/interface_tests.jl b/test/interface_tests.jl
index cc51974a..91a68a76 100644
--- a/test/interface_tests.jl
+++ b/test/interface_tests.jl
@@ -1,6 +1,7 @@
 using RecursiveArrayTools, StaticArrays, Test
 using RecursiveArrayToolsShorthandConstructors
 using FastBroadcast
+using Polyester
 using SymbolicIndexingInterface: SymbolCache
 
 t = 1:3
@@ -302,6 +303,27 @@ f3!(z, zz)
     @test all(x -> x == SVector(3.0, 3.0), v_t.u)
 end
 
+# Test Polyester-based threaded FastBroadcast extension (issue #564)
+@testset "Polyester-threaded @.. with VectorOfArray{SArray}" begin
+    # Verify the Polyester extension is loaded
+    @test Base.get_extension(
+        Base.PkgId(RecursiveArrayTools),
+        :RecursiveArrayToolsFastBroadcastPolyesterExt
+    ) !== nothing
+
+    # Test basic threaded broadcast with Polyester (Vector-of-SVector storage)
+    u_p = VectorOfArray([SVector(2.0, 3.0) for _ in 1:9])
+    v_p = copy(u_p)
+    @.. thread = true v_p = v_p + u_p
+    @test all(x -> x == SVector(4.0, 6.0), v_p.u)
+
+    # Test with larger array to exercise Polyester batching
+    u_large = VectorOfArray([SVector(1.0, 1.0, 1.0) for _ in 1:100])
+    v_large = VectorOfArray([SVector(0.0, 0.0, 0.0) for _ in 1:100])
+    @.. thread = true v_large = u_large * 2.0
+    @test all(x -> x == SVector(2.0, 2.0, 2.0), v_large.u)
+end
+
 struct ImmutableVectorOfArray{T, N, A} <: AbstractVectorOfArray{T, N, A}
     u::A # A <: AbstractArray{<: AbstractArray{T, N - 1}}
 end