diff -r 6b747ad4a99a Lib/test/test_zipfile.py
--- a/Lib/test/test_zipfile.py	Mon Sep 16 23:57:00 2013 +0300
+++ b/Lib/test/test_zipfile.py	Thu Sep 19 20:15:20 2013 +0300
@@ -158,6 +158,45 @@
         for f in get_files(self):
             self.zip_random_open_test(f, self.compression)
 
+    def zip_read1_test(self, f, compression):
+        self.make_test_archive(f, compression)
+
+        # Read the ZIP archive
+        with zipfile.ZipFile(f, "r") as zipfp, \
+             zipfp.open(TESTFN) as zipopen:
+            zipdata = []
+            while True:
+                read_data = zipopen.read1(-1)
+                if not read_data:
+                    break
+                zipdata.append(read_data)
+
+        self.assertEqual(b''.join(zipdata), self.data)
+
+    def test_read1(self):
+        for f in get_files(self):
+            self.zip_read1_test(f, self.compression)
+
+    def zip_read1_10_test(self, f, compression):
+        self.make_test_archive(f, compression)
+
+        # Read the ZIP archive
+        with zipfile.ZipFile(f, "r") as zipfp, \
+             zipfp.open(TESTFN) as zipopen:
+            zipdata = []
+            while True:
+                read_data = zipopen.read1(10)
+                self.assertLessEqual(len(read_data), 10)
+                if not read_data:
+                    break
+                zipdata.append(read_data)
+
+        self.assertEqual(b''.join(zipdata), self.data)
+
+    def test_read1_10(self):
+        for f in get_files(self):
+            self.zip_read1_10_test(f, self.compression)
+
     def zip_readline_read_test(self, f, compression):
         self.make_test_archive(f, compression)
 
diff -r 6b747ad4a99a Lib/zipfile.py
--- a/Lib/zipfile.py	Mon Sep 16 23:57:00 2013 +0300
+++ b/Lib/zipfile.py	Thu Sep 19 20:15:20 2013 +0300
@@ -785,8 +785,11 @@
             buf = self._readbuffer[self._offset:]
             self._readbuffer = b''
             self._offset = 0
-            data = self._read1(self.MAX_N)
-            buf += data
+            while not self._eof:
+                data = self._read1(self.MAX_N)
+                if data:
+                    buf += data
+                    break
             return buf
 
         end = n + self._offset
@@ -800,12 +803,16 @@
         self._readbuffer = b''
         self._offset = 0
         if n > 0:
-            data = self._read1(n)
-            if n < len(data):
-                self._readbuffer = data
-                self._offset = n
-                data = data[:n]
-            buf += data
+            while not self._eof:
+                data = self._read1(n)
+                if n < len(data):
+                    self._readbuffer = data
+                    self._offset = n
+                    buf += data[:n]
+                    break
+                if data:
+                    buf += data
+                    break
         return buf
 
     def _read1(self, n):