diff --git a/mlir/include/mlir/Dialect/LLVMIR/LLVMOpBase.td b/mlir/include/mlir/Dialect/LLVMIR/LLVMOpBase.td
--- a/mlir/include/mlir/Dialect/LLVMIR/LLVMOpBase.td
+++ b/mlir/include/mlir/Dialect/LLVMIR/LLVMOpBase.td
@@ -92,7 +92,7 @@
 
 // Type constraint accepting any LLVM pointer type.
 def LLVM_AnyPointer : Type<CPred<"$_self.isa<::mlir::LLVM::LLVMPointerType>()">,
-                          "LLVM pointer type">;
+                          "LLVM pointer type", "::mlir::LLVM::LLVMPointerType">;
 
 // Type constraint accepting LLVM pointer type with an additional constraint
 // on the element type.
@@ -103,7 +103,7 @@
              "$_self",
              "$_self.cast<::mlir::LLVM::LLVMPointerType>().getElementType()",
              pointee.predicate>]>]>,
-  "LLVM pointer to " # pointee.summary>;
+  "LLVM pointer to " # pointee.summary, "::mlir::LLVM::LLVMPointerType">;
 
 // Type constraints accepting LLVM pointer type to integer of a specific width.
 class LLVM_IntPtrBase<int width, int addressSpace = 0> : Type<
diff --git a/mlir/include/mlir/Dialect/LLVMIR/LLVMOps.td b/mlir/include/mlir/Dialect/LLVMIR/LLVMOps.td
--- a/mlir/include/mlir/Dialect/LLVMIR/LLVMOps.td
+++ b/mlir/include/mlir/Dialect/LLVMIR/LLVMOps.td
@@ -827,7 +827,7 @@
 
 def LLVM_AddressOfOp : LLVM_Op<"mlir.addressof", [NoSideEffect]> {
   let arguments = (ins FlatSymbolRefAttr:$global_name);
-  let results = (outs LLVM_Type:$res);
+  let results = (outs LLVM_AnyPointer:$res);
 
   let summary = "Creates a pointer pointing to a global or a function";
 
diff --git a/mlir/lib/Dialect/LLVMIR/IR/LLVMDialect.cpp b/mlir/lib/Dialect/LLVMIR/IR/LLVMDialect.cpp
--- a/mlir/lib/Dialect/LLVMIR/IR/LLVMDialect.cpp
+++ b/mlir/lib/Dialect/LLVMIR/IR/LLVMDialect.cpp
@@ -1654,14 +1654,19 @@
     return emitOpError(
         "must reference a global defined by 'llvm.mlir.global' or 'llvm.func'");
 
-  if (global &&
-      LLVM::LLVMPointerType::get(global.getType(), global.getAddrSpace()) !=
-          getResult().getType())
+  LLVMPointerType type = getType();
+  if (global && global.getAddrSpace() != type.getAddressSpace())
+    return emitOpError("pointer address space must match address space of the "
+                       "referenced global");
+
+  if (type.isOpaque())
+    return success();
+
+  if (global && type.getElementType() != global.getType())
     return emitOpError(
         "the type must be a pointer to the type of the referenced global");
 
-  if (function && LLVM::LLVMPointerType::get(function.getFunctionType()) !=
-                      getResult().getType())
+  if (function && type.getElementType() != function.getFunctionType())
     return emitOpError(
         "the type must be a pointer to the type of the referenced function");
 
diff --git a/mlir/test/Dialect/LLVMIR/global.mlir b/mlir/test/Dialect/LLVMIR/global.mlir
--- a/mlir/test/Dialect/LLVMIR/global.mlir
+++ b/mlir/test/Dialect/LLVMIR/global.mlir
@@ -61,6 +61,8 @@
 llvm.mlir.global external @has_thr_local(42 : i64) {thr_local} : i64
 // CHECK: llvm.mlir.global external @has_dso_local(42 : i64) {dso_local} : i64
 llvm.mlir.global external @has_dso_local(42 : i64) {dso_local} : i64
+// CHECK: llvm.mlir.global external @has_addr_space(32 : i64) {addr_space = 3 : i32} : i64
+llvm.mlir.global external @has_addr_space(32 : i64) {addr_space = 3: i32} : i64
 
 // CHECK-LABEL: references
 func.func @references() {
@@ -70,6 +72,12 @@
   // CHECK: llvm.mlir.addressof @".string" : !llvm.ptr<array<6 x i8>>
   %1 = llvm.mlir.addressof @".string" : !llvm.ptr<array<6 x i8>>
 
+  // CHECK: llvm.mlir.addressof @global : !llvm.ptr
+  %2 = llvm.mlir.addressof @global : !llvm.ptr
+
+  // CHECK: llvm.mlir.addressof @has_addr_space : !llvm.ptr<3>
+  %3 = llvm.mlir.addressof @has_addr_space : !llvm.ptr<3>
+
   llvm.return
 }
 
@@ -201,7 +209,7 @@
 
 llvm.mlir.global internal @g(32 : i64) {addr_space = 3: i32} : i64
 func.func @mismatch_addr_space_implicit_global() {
-  // expected-error @+1 {{op the type must be a pointer to the type of the referenced global}}
+  // expected-error @+1 {{pointer address space must match address space of the referenced global}}
   llvm.mlir.addressof @g : !llvm.ptr<i64>
 }
 
@@ -209,9 +217,17 @@
 
 llvm.mlir.global internal @g(32 : i64) {addr_space = 3: i32} : i64
 func.func @mismatch_addr_space() {
-  // expected-error @+1 {{op the type must be a pointer to the type of the referenced global}}
+  // expected-error @+1 {{pointer address space must match address space of the referenced global}}
   llvm.mlir.addressof @g : !llvm.ptr<i64, 4>
 }
+// -----
+
+llvm.mlir.global internal @g(32 : i64) {addr_space = 3: i32} : i64
+
+func.func @mismatch_addr_space_opaque() {
+  // expected-error @+1 {{pointer address space must match address space of the referenced global}}
+  llvm.mlir.addressof @g : !llvm.ptr<4>
+}
 
 // -----
 
diff --git a/mlir/test/Dialect/LLVMIR/invalid.mlir b/mlir/test/Dialect/LLVMIR/invalid.mlir
--- a/mlir/test/Dialect/LLVMIR/invalid.mlir
+++ b/mlir/test/Dialect/LLVMIR/invalid.mlir
@@ -508,7 +508,7 @@
 // -----
 
 func.func @null_non_llvm_type() {
-  // expected-error@+1 {{must be LLVM pointer type, but got 'i32'}}
+  // expected-error@+1 {{custom op 'llvm.mlir.null' invalid kind of type specified}}
   llvm.mlir.null : i32
 }