diff --git a/lib/src/rules/prefer_collection_literals.dart b/lib/src/rules/prefer_collection_literals.dart
index b95868de6..a708611bb 100644
--- a/lib/src/rules/prefer_collection_literals.dart
+++ b/lib/src/rules/prefer_collection_literals.dart
@@ -66,10 +66,7 @@ class _Visitor extends SimpleAstVisitor<void> {
     final constructorName = node.constructorName.name?.name;
 
     // Lists, Maps.
-    if (DartTypeUtilities.isClass(node.staticType, 'List', 'dart.core') ||
-        DartTypeUtilities.isClass(node.staticType, 'Map', 'dart.core') ||
-        DartTypeUtilities.isClass(
-            node.staticType, 'LinkedHashMap', 'dart.collection')) {
+    if (isList(node) || isMap(node) || isHashMap(node)) {
       if (constructorName == null && node.argumentList.arguments.isEmpty) {
         rule.reportLint(node);
       }
@@ -77,14 +74,44 @@ class _Visitor extends SimpleAstVisitor<void> {
     }
 
     // Sets.
-    if (DartTypeUtilities.isClass(node.staticType, 'Set', 'dart.core') ||
-        DartTypeUtilities.isClass(
-            node.staticType, 'LinkedHashSet', 'dart.collection')) {
-      if (constructorName == null ||
-          constructorName == 'from' ||
-          constructorName == 'of') {
+    if (isSet(node) || isHashSet(node)) {
+      // Skip: LinkedHashSet<int> s =  ...;
+      var parent = node.parent;
+      if (parent is VariableDeclaration) {
+        var parent2 = parent.parent;
+        if (parent2 is VariableDeclarationList) {
+          var assignmentType = parent2.type?.type;
+          if (assignmentType != null &&
+              !DartTypeUtilities.isClass(assignmentType, 'Set', 'dart.core')) {
+            return;
+          }
+        }
+      }
+
+      if (constructorName == null) {
         rule.reportLint(node);
+      } else if (constructorName == 'from' || constructorName == 'of') {
+        var args = node.argumentList.arguments;
+        if (args.length != 1) {
+          return;
+        }
+        var arg = args.first;
+        if (arg is ListLiteral || arg is ListLiteral2) {
+          rule.reportLint(node);
+        }
       }
     }
   }
+
+  // todo (pq): migrate to using typeProvider
+  bool isSet(Expression expression) =>
+      DartTypeUtilities.isClass(expression.staticType, 'Set', 'dart.core');
+  bool isHashSet(Expression expression) => DartTypeUtilities.isClass(
+      expression.staticType, 'LinkedHashSet', 'dart.collection');
+  bool isList(Expression expression) =>
+      DartTypeUtilities.isClass(expression.staticType, 'List', 'dart.core');
+  bool isMap(Expression expression) =>
+      DartTypeUtilities.isClass(expression.staticType, 'Map', 'dart.core');
+  bool isHashMap(Expression expression) => DartTypeUtilities.isClass(
+      expression.staticType, 'LinkedHashMap', 'dart.collection');
 }
diff --git a/test/mock_sdk.dart b/test/mock_sdk.dart
index 0e583fb31..bd251c4b8 100644
--- a/test/mock_sdk.dart
+++ b/test/mock_sdk.dart
@@ -113,6 +113,8 @@ class Iterator<E> {
 }
 
 abstract class Iterable<E> {
+  const Iterable();
+  const factory Iterable.empty() = Iterable;
   Iterator<E> get iterator;
   bool contains(Object element);
   E firstWhere(bool test(E element), { E orElse()});
@@ -135,13 +137,19 @@ abstract class List<E> implements Iterable<E> {
   int indexOf(Object element);
   bool get isEmpty;
   bool get isNotEmpty;
+  Set<E> toSet() => new Set<E>.from(this);
 }
 
 abstract class Map<K, V> extends Object {
   /* external */ factory Map();
   factory Map.from(Map other) = LinkedHashMap<K, V>.from;
+  factory Map.fromIterable(Iterable iterable,
+      {K key(element), V value(element)}) = LinkedHashMap<K, V>.fromIterable;
+  factory Map.fromIterables(Iterable<K> keys, Iterable<V> values) =
+      LinkedHashMap<K, V>.fromIterables;    
   factory Map.of(Map<K, V> other) = LinkedHashMap<K, V>.of;
   factory Map.identity() = LinkedHashMap<K, V>.identity;
+  /* external */ factory Map.unmodifiable(Map other);
   Iterable<K> get keys;
   bool get isEmpty;
   bool get isNotEmpty;
@@ -207,6 +215,9 @@ abstract class LinkedHashMap<K, V> implements Map<K, V> {
       bool isValidKey(potentialKey)});
   /* external */ factory LinkedHashMap.identity();
   factory LinkedHashMap.from(Map other);
+  factory LinkedHashMap.fromIterable(Iterable iterable,
+      {K key(element), V value(element)});
+  factory LinkedHashMap.fromIterables(Iterable<K> keys, Iterable<V> values);    
   factory LinkedHashMap.of(Map<K, V> other) =>
     new LinkedHashMap<K, V>()..addAll(other);
 }
diff --git a/test/rules/prefer_collection_literals.dart b/test/rules/prefer_collection_literals.dart
index d70919771..ac73234aa 100644
--- a/test/rules/prefer_collection_literals.dart
+++ b/test/rules/prefer_collection_literals.dart
@@ -47,4 +47,13 @@ void main() {
   var ss2 = new LinkedHashSet(); // LINT
   var ss3 = LinkedHashSet.from([]); // LINT
   var ss4 = LinkedHashSet.of([]); // LINT
+
+  Set<int> ss5 = LinkedHashSet<int>(); // LINT
+  LinkedHashSet<int> ss6 = LinkedHashSet<int>(); // OK
+
+  Set<int> ss7 = LinkedHashSet.from([1, 2, 3]); // LINT
+  LinkedHashSet<int> ss8 =  LinkedHashSet.from([1, 2, 3]); // OK
+
+  Iterable iter = Iterable.empty(); // OK
+  var sss = Set.from(iter); // OK
 }