diff --git a/clang-tools-extra/clang-tidy/modernize/LoopConvertCheck.cpp b/clang-tools-extra/clang-tidy/modernize/LoopConvertCheck.cpp
--- a/clang-tools-extra/clang-tidy/modernize/LoopConvertCheck.cpp
+++ b/clang-tools-extra/clang-tidy/modernize/LoopConvertCheck.cpp
@@ -128,10 +128,7 @@
           .bind(BeginCallName);
 
   DeclarationMatcher InitDeclMatcher =
-      varDecl(hasInitializer(anyOf(ignoringParenImpCasts(BeginCallMatcher),
-                                   materializeTemporaryExpr(
-                                       ignoringParenImpCasts(BeginCallMatcher)),
-                                   hasDescendant(BeginCallMatcher))))
+      varDecl(hasInitializer(hasDescendant(BeginCallMatcher)))
           .bind(InitVarName);
 
   DeclarationMatcher EndDeclMatcher =
@@ -791,11 +788,6 @@
               CanonicalBeginType->getPointeeType(),
               CanonicalInitVarType->getPointeeType()))
         return false;
-    } else if (!Context->hasSameType(CanonicalInitVarType,
-                                     CanonicalBeginType)) {
-      // Check for qualified types to avoid conversions from non-const to const
-      // iterator types.
-      return false;
     }
   } else if (FixerKind == LFK_PseudoArray) {
     // This call is required to obtain the container.
diff --git a/clang-tools-extra/test/clang-tidy/modernize-loop-convert-basic.cpp b/clang-tools-extra/test/clang-tidy/modernize-loop-convert-basic.cpp
--- a/clang-tools-extra/test/clang-tidy/modernize-loop-convert-basic.cpp
+++ b/clang-tools-extra/test/clang-tidy/modernize-loop-convert-basic.cpp
@@ -270,6 +270,13 @@
   // CHECK-FIXES: for (auto & P : *Ps)
   // CHECK-FIXES-NEXT: printf("s has value %d\n", P.X);
 
+  for (S::const_iterator It = Ss.begin(), E = Ss.end(); It != E; ++It) {
+    printf("s has value %d\n", (*It).X);
+  }
+  // CHECK-MESSAGES: :[[@LINE-3]]:3: warning: use range-based for loop instead
+  // CHECK-FIXES: for (auto It : Ss)
+  // CHECK-FIXES-NEXT: printf("s has value %d\n", It.X);
+
   for (S::const_iterator It = Ss.cbegin(), E = Ss.cend(); It != E; ++It) {
     printf("s has value %d\n", (*It).X);
   }