diff --git a/llvm/lib/Transforms/IPO/Attributor.cpp b/llvm/lib/Transforms/IPO/Attributor.cpp
--- a/llvm/lib/Transforms/IPO/Attributor.cpp
+++ b/llvm/lib/Transforms/IPO/Attributor.cpp
@@ -1415,6 +1415,16 @@
   } while (!Worklist.empty() && (IterationCounter++ < MaxFixedPointIterations ||
                                  VerifyMaxFixpointIterations));
 
+  if (IterationCounter > MaxFixedPointIterations && !Worklist.empty()) {
+    auto Remark = [&](OptimizationRemarkMissed ORM) {
+      return ORM << "Attributor did not reach a fixpoint after "
+                 << ore::NV("Iterations", MaxFixedPointIterations)
+                 << " iterations.";
+    };
+    Function *F = Worklist.front()->getIRPosition().getAssociatedFunction();
+    emitRemark<OptimizationRemarkMissed>(F, "FixedPoint", Remark);
+  }
+
   LLVM_DEBUG(dbgs() << "\n[Attributor] Fixpoint iteration done after: "
                     << IterationCounter << "/" << MaxFixpointIterations
                     << " iterations\n");
diff --git a/llvm/lib/Transforms/IPO/OpenMPOpt.cpp b/llvm/lib/Transforms/IPO/OpenMPOpt.cpp
--- a/llvm/lib/Transforms/IPO/OpenMPOpt.cpp
+++ b/llvm/lib/Transforms/IPO/OpenMPOpt.cpp
@@ -109,6 +109,11 @@
                          cl::desc("Enables more verbose remarks."), cl::Hidden,
                          cl::init(false));
 
+static cl::opt<unsigned>
+    SetFixpointIterations("openmp-opt-max-iterations", cl::Hidden,
+                          cl::desc("Maximal number of attributor iterations."),
+                          cl::init(256));
+
 STATISTIC(NumOpenMPRuntimeCallsDeduplicated,
           "Number of OpenMP runtime calls deduplicated");
 STATISTIC(NumOpenMPParallelRegionsDeleted,
@@ -3348,8 +3353,9 @@
     if (DisableOpenMPOptStateMachineRewrite)
       return ChangeStatus::UNCHANGED;
 
-    assert(ReachedKnownParallelRegions.isValidState() &&
-           "Custom state machine with invalid parallel region states?");
+    // Don't rewrite the state machine if we are not in a valid state.
+    if (!ReachedKnownParallelRegions.isValidState())
+      return ChangeStatus::UNCHANGED;
 
     const int InitModeArgNo = 1;
     const int InitUseStateMachineArgNo = 2;
@@ -4583,7 +4589,8 @@
   SetVector<Function *> Functions(SCC.begin(), SCC.end());
   OMPInformationCache InfoCache(M, AG, Allocator, /*CGSCC*/ Functions, Kernels);
 
-  unsigned MaxFixpointIterations = (isOpenMPDevice(M)) ? 128 : 32;
+  unsigned MaxFixpointIterations =
+      (isOpenMPDevice(M)) ? SetFixpointIterations : 32;
   Attributor A(Functions, InfoCache, CGUpdater, nullptr, true, false,
                MaxFixpointIterations, OREGetter, DEBUG_TYPE);
 
@@ -4646,7 +4653,8 @@
   OMPInformationCache InfoCache(*(Functions.back()->getParent()), AG, Allocator,
                                 /*CGSCC*/ Functions, Kernels);
 
-  unsigned MaxFixpointIterations = (isOpenMPDevice(M)) ? 128 : 32;
+  unsigned MaxFixpointIterations =
+      (isOpenMPDevice(M)) ? SetFixpointIterations : 32;
   Attributor A(Functions, InfoCache, CGUpdater, nullptr, false, true,
                MaxFixpointIterations, OREGetter, DEBUG_TYPE);
 
@@ -4716,7 +4724,8 @@
                                   Allocator,
                                   /*CGSCC*/ Functions, Kernels);
 
-    unsigned MaxFixpointIterations = (isOpenMPDevice(M)) ? 128 : 32;
+    unsigned MaxFixpointIterations =
+        (isOpenMPDevice(M)) ? SetFixpointIterations : 32;
     Attributor A(Functions, InfoCache, CGUpdater, nullptr, false, true,
                  MaxFixpointIterations, OREGetter, DEBUG_TYPE);
 
diff --git a/llvm/test/Transforms/OpenMP/remove_globalization.ll b/llvm/test/Transforms/OpenMP/remove_globalization.ll
--- a/llvm/test/Transforms/OpenMP/remove_globalization.ll
+++ b/llvm/test/Transforms/OpenMP/remove_globalization.ll
@@ -1,14 +1,18 @@
 ; NOTE: Assertions have been autogenerated by utils/update_test_checks.py UTC_ARGS: --function-signature --check-globals
 ; RUN: opt -S -passes=openmp-opt < %s | FileCheck %s
 ; RUN: opt -passes=openmp-opt -pass-remarks=openmp-opt -pass-remarks-missed=openmp-opt -disable-output < %s 2>&1 | FileCheck %s -check-prefix=CHECK-REMARKS
+; RUN: opt -passes=openmp-opt -pass-remarks-missed=openmp-opt -openmp-opt-max-iterations=1 -disable-output < %s 2>&1 | FileCheck %s -check-prefix=CHECK-FIXPOINT
 ; RUN: opt -openmp-opt-disable-deglobalization -S -passes=openmp-opt < %s | FileCheck %s --check-prefix=CHECK-DISABLED
 target datalayout = "e-i64:64-i128:128-v16:16-v32:32-n16:32:64"
 target triple = "nvptx64"
 
+; UTC_ARGS: --disable
 ; CHECK-REMARKS: remark: remove_globalization.c:4:2: Could not move globalized variable to the stack. Variable is potentially captured in call. Mark parameter as `__attribute__((noescape))` to override.
 ; CHECK-REMARKS: remark: remove_globalization.c:2:2: Moving globalized variable to the stack.
 ; CHECK-REMARKS: remark: remove_globalization.c:6:2: Moving globalized variable to the stack.
 ; CHECK-REMARKS: remark: remove_globalization.c:4:2: Found thread data sharing on the GPU. Expect degraded performance due to data globalization.
+; CHECK-FIXPOINT: Attributor did not reach a fixpoint after 1 iterations.
+; UTC_ARGS: --enable
 
 @S = external local_unnamed_addr global i8*