Issue 10593:  Adopt Nick's suggestion for an lru_cache with maxsize=None.
diff --git a/Lib/functools.py b/Lib/functools.py
index 0fbf3cd..d450634 100644
--- a/Lib/functools.py
+++ b/Lib/functools.py
@@ -119,6 +119,9 @@
 def lru_cache(maxsize=100):
     """Least-recently-used cache decorator.
 
+    If *maxsize* is set to None, the LRU features are disabled and the cache
+    can grow without bound.
+
     Arguments to the cached function must be hashable.
 
     View the cache statistics named tuple (hits, misses, maxsize, currsize) with
@@ -136,32 +139,51 @@
     def decorating_function(user_function,
                 tuple=tuple, sorted=sorted, len=len, KeyError=KeyError):
 
-        cache = OrderedDict()           # ordered least recent to most recent
-        cache_popitem = cache.popitem
-        cache_renew = cache.move_to_end
         hits = misses = 0
         kwd_mark = object()             # separates positional and keyword args
         lock = Lock()
 
-        @wraps(user_function)
-        def wrapper(*args, **kwds):
-            nonlocal hits, misses
-            key = args
-            if kwds:
-                key += (kwd_mark,) + tuple(sorted(kwds.items()))
-            try:
-                with lock:
+        if maxsize is None:
+            cache = dict()              # simple cache without ordering or size limit
+
+            @wraps(user_function)
+            def wrapper(*args, **kwds):
+                nonlocal hits, misses
+                key = args
+                if kwds:
+                    key += (kwd_mark,) + tuple(sorted(kwds.items()))
+                try:
                     result = cache[key]
-                    cache_renew(key)            # record recent use of this key
                     hits += 1
-            except KeyError:
-                result = user_function(*args, **kwds)
-                with lock:
-                    cache[key] = result         # record recent use of this key
+                except KeyError:
+                    result = user_function(*args, **kwds)
+                    cache[key] = result
                     misses += 1
-                    if len(cache) > maxsize:
-                        cache_popitem(0)        # purge least recently used cache entry
-            return result
+                return result
+        else:
+            cache = OrderedDict()       # ordered least recent to most recent
+            cache_popitem = cache.popitem
+            cache_renew = cache.move_to_end
+
+            @wraps(user_function)
+            def wrapper(*args, **kwds):
+                nonlocal hits, misses
+                key = args
+                if kwds:
+                    key += (kwd_mark,) + tuple(sorted(kwds.items()))
+                try:
+                    with lock:
+                        result = cache[key]
+                        cache_renew(key)        # record recent use of this key
+                        hits += 1
+                except KeyError:
+                    result = user_function(*args, **kwds)
+                    with lock:
+                        cache[key] = result     # record recent use of this key
+                        misses += 1
+                        if len(cache) > maxsize:
+                            cache_popitem(0)    # purge least recently used cache entry
+                return result
 
         def cache_info():
             """Report cache statistics"""
diff --git a/Lib/test/test_functools.py b/Lib/test/test_functools.py
index 8f48e9e..e5921a7 100644
--- a/Lib/test/test_functools.py
+++ b/Lib/test/test_functools.py
@@ -586,6 +586,20 @@
         self.assertEqual(misses, 4)
         self.assertEqual(currsize, 2)
 
+    def test_lru_with_maxsize_none(self):
+        @functools.lru_cache(maxsize=None)
+        def fib(n):
+            if n < 2:
+                return n
+            return fib(n-1) + fib(n-2)
+        self.assertEqual([fib(n) for n in range(16)],
+            [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610])
+        self.assertEqual(fib.cache_info(),
+            functools._CacheInfo(hits=28, misses=16, maxsize=None, currsize=16))
+        fib.cache_clear()
+        self.assertEqual(fib.cache_info(),
+            functools._CacheInfo(hits=0, misses=0, maxsize=None, currsize=0))
+
 def test_main(verbose=None):
     test_classes = (
         TestPartial,