diff --git a/src/jlgen.jl b/src/jlgen.jl
index 8a6eab48..cf234b9c 100644
--- a/src/jlgen.jl
+++ b/src/jlgen.jl
@@ -14,9 +14,27 @@ end
 
 export methodinstance, generic_methodinstance
 
-@inline function signature_type_by_tt(ft::Type, tt::Type)
-    u = Base.unwrap_unionall(tt)::DataType
-    return Base.rewrap_unionall(Tuple{ft, u.parameters...}, tt)
+# JuliaLang/julia#62001 specializes closed type-valued callees and arguments on
+# `Core.TypeEgal` dispatch keys, making `Type{T}` elements non-dispatchable, so
+# normalize them when constructing signature types.
+@static if isdefined(Core, :TypeEgal)
+    @inline function dispatch_key(@nospecialize(t))
+        if Base.isType(t)
+            u = Base.type_parameter(t)
+            !Base.has_free_typevars(u) && return Core.TypeEgal{u}
+        end
+        return t
+    end
+
+    @inline function signature_type_by_tt(ft::Type, tt::Type)
+        u = Base.unwrap_unionall(tt)::DataType
+        return Base.rewrap_unionall(Tuple{dispatch_key(ft), map(dispatch_key, u.parameters)...}, tt)
+    end
+else
+    @inline function signature_type_by_tt(ft::Type, tt::Type)
+        u = Base.unwrap_unionall(tt)::DataType
+        return Base.rewrap_unionall(Tuple{ft, u.parameters...}, tt)
+    end
 end
 
 # create a MethodError from a function type
diff --git a/test/native.jl b/test/native.jl
index bb9abeee..c7eb7f91 100644
--- a/test/native.jl
+++ b/test/native.jl
@@ -25,6 +25,18 @@
     end
 end
 
+@testset "method instances for type-valued callees and arguments" begin
+    # JuliaLang/julia#62001: closed type-valued callees and arguments
+    # dispatch on Core.TypeEgal keys instead of Type{T}
+    mi = GPUCompiler.methodinstance(Base._stable_typeof(Vector{Int}), Tuple{typeof(undef), Int})
+    @test mi isa Core.MethodInstance
+    @test Base.isdispatchtuple(mi.specTypes)
+
+    mi = GPUCompiler.methodinstance(typeof(identity), Tuple{Type{Int}})
+    @test mi isa Core.MethodInstance
+    @test Base.isdispatchtuple(mi.specTypes)
+end
+
 @testset "compilation" begin
     @testset "callable structs" begin
         mod = @eval module $(gensym())