diff --git a/Project.toml b/Project.toml
index cbff73dc..1ec9b48c 100644
--- a/Project.toml
+++ b/Project.toml
@@ -12,6 +12,7 @@ Aqua = "0.8"
 ArrayLayouts = "1.0.8"
 Documenter = "1"
 FillArrays = "1"
+JET = "0.4, 0.6, 0.7, 0.8"
 LinearAlgebra = "1.6"
 OffsetArrays = "1"
 Random = "1.6"
@@ -23,6 +24,7 @@ julia = "1.6"
 [extras]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
+JET = "c3a54625-cd67-489e-a8e7-0a5a0ff4e31b"
 OffsetArrays = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
@@ -30,4 +32,4 @@ StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]
-test = ["Aqua", "Documenter", "OffsetArrays", "SparseArrays", "StaticArrays", "Test", "Random"]
+test = ["Aqua", "Documenter", "JET", "OffsetArrays", "SparseArrays", "StaticArrays", "Test", "Random"]
diff --git a/src/blockbroadcast.jl b/src/blockbroadcast.jl
index 306b05d2..7bf796b9 100644
--- a/src/blockbroadcast.jl
+++ b/src/blockbroadcast.jl
@@ -140,8 +140,13 @@ end
 @inline _bview(arg, ::Vararg) = arg
 @inline _bview(A::AbstractArray, I...) = view(A, I...)
 
-@inline function Base.Broadcast.materialize!(dest, bc::Broadcasted{BS}) where {BS<:AbstractBlockStyle}
-    return copyto!(dest, Base.Broadcast.instantiate(Base.Broadcast.Broadcasted{BS}(bc.f, bc.args, combine_blockaxes.(axes(dest),axes(bc)))))
+@inline function Broadcast.materialize!(dest, bc::Broadcasted{BS}) where {NDims, BS<:AbstractBlockStyle{NDims}}
+    dest_reshaped = ndims(dest) == NDims ? dest : reshape(dest, size(bc))
+    bc2 = Broadcast.instantiate(
+            Broadcast.Broadcasted{BS}(bc.f, bc.args,
+                map(combine_blockaxes, axes(dest_reshaped), axes(bc))))
+    copyto!(dest_reshaped, bc2)
+    return dest
 end
 
 function _generic_blockbroadcast_copyto!(dest::AbstractArray,
diff --git a/test/test_blockbroadcast.jl b/test/test_blockbroadcast.jl
index 0d58aa3d..15a012eb 100644
--- a/test/test_blockbroadcast.jl
+++ b/test/test_blockbroadcast.jl
@@ -1,5 +1,6 @@
 using BlockArrays, FillArrays, Test
 import BlockArrays: SubBlockIterator, BlockIndexRange, Diagonal
+using JET
 
 @testset "broadcast" begin
     @testset "BlockArray" begin
@@ -24,6 +25,24 @@ import BlockArrays: SubBlockIterator, BlockIndexRange, Diagonal
 
         @test axes(A + A) == axes(A .+ A) == axes(A)
         @test axes(A .+ 1) == axes(A)
+
+        @testset "mismatched ndims" begin
+            u = BlockArray(randn(5), [2,3])
+            dest = zeros(size(u)..., 1)
+            @test (dest .= u) isa typeof(dest)
+            @static if isdefined(JET, :test_opt)
+                @test_opt ((dest,u) -> dest .= u)(dest,u)
+            end
+            @test reshape(dest, size(u)) == u
+
+            u = BlockArray(randn(3,3), [1,2], [1,2])
+            dest = zeros(length(u))
+            @test (dest .= u) isa typeof(dest)
+            @static if isdefined(JET, :test_opt)
+                @test_opt ((dest,u) -> dest .= u)(dest,u)
+            end
+            @test reshape(dest, size(u)) == u
+        end
     end
 
     @testset "PseudoBlockArray" begin
@@ -180,8 +199,13 @@ import BlockArrays: SubBlockIterator, BlockIndexRange, Diagonal
 
     @testset "type inference" begin
         u = BlockArray(randn(5), [2,3]);
+        A = zeros(size(u))
         @inferred(copyto!(similar(u), Base.broadcasted(exp, u)))
         @test exp.(u) == exp.(Vector(u))
+        # test_opt isn't available on JET v0.4, which is installed on Julia v1.6
+        @static if isdefined(JET, :test_opt)
+            @test_opt ((A,B) -> A .= B)(A,u)
+        end
     end
 
     @testset "adjtrans" begin