diff --git a/llvm/lib/Transforms/Scalar/ConstraintElimination.cpp b/llvm/lib/Transforms/Scalar/ConstraintElimination.cpp
--- a/llvm/lib/Transforms/Scalar/ConstraintElimination.cpp
+++ b/llvm/lib/Transforms/Scalar/ConstraintElimination.cpp
@@ -184,6 +184,17 @@
       continue;
     }
 
+    if (match(Br->getCondition(), m_And(m_Cmp(), m_Cmp()))) {
+      if (Br->getSuccessor(0)->getSinglePredecessor()) {
+        auto *OrI = cast<Instruction>(Br->getCondition());
+        WorkList.emplace_back(DT.getNode(Br->getSuccessor(0)),
+                              cast<CmpInst>(OrI->getOperand(0)), false);
+        WorkList.emplace_back(DT.getNode(Br->getSuccessor(0)),
+                              cast<CmpInst>(OrI->getOperand(1)), false);
+      }
+      continue;
+    }
+
     auto *CmpI = dyn_cast<CmpInst>(Br->getCondition());
     if (!CmpI)
       continue;
diff --git a/llvm/test/Transforms/ConstraintElimination/and.ll b/llvm/test/Transforms/ConstraintElimination/and.ll
--- a/llvm/test/Transforms/ConstraintElimination/and.ll
+++ b/llvm/test/Transforms/ConstraintElimination/and.ll
@@ -12,11 +12,11 @@
 ; CHECK-NEXT:    br i1 [[AND]], label [[BB1:%.*]], label [[EXIT:%.*]]
 ; CHECK:       bb1:
 ; CHECK-NEXT:    [[T_1:%.*]] = icmp ule i32 [[X]], [[Z]]
-; CHECK-NEXT:    call void @use(i1 [[T_1]])
+; CHECK-NEXT:    call void @use(i1 true)
 ; CHECK-NEXT:    [[T_2:%.*]] = icmp ule i32 [[X]], [[Y]]
-; CHECK-NEXT:    call void @use(i1 [[T_2]])
+; CHECK-NEXT:    call void @use(i1 true)
 ; CHECK-NEXT:    [[T_3:%.*]] = icmp ule i32 [[Y]], [[Z]]
-; CHECK-NEXT:    call void @use(i1 [[T_3]])
+; CHECK-NEXT:    call void @use(i1 true)
 ; CHECK-NEXT:    [[C_3:%.*]] = icmp ule i32 [[X]], [[A:%.*]]
 ; CHECK-NEXT:    call void @use(i1 [[C_3]])
 ; CHECK-NEXT:    ret i32 10