diff --git a/pip/download.py b/pip/download.py
index 6243a5b48c6..12bf82d5fdf 100644
--- a/pip/download.py
+++ b/pip/download.py
@@ -323,14 +323,14 @@ def is_file_url(link):
 
 
 def _check_hash(download_hash, link):
-    if download_hash.name != link.hash_name:
-        logger.fatal("Hash name of the package %s (%s) doesn't match the expected hash name %s!"
-                    % (download_hash.name, link, link.hash_name))
+    if download_hash.digest_size != hashlib.new(link.hash_name).digest_size:
+        logger.fatal("Hash digest size of the package %d (%s) doesn't match the expected hash name %s!"
+                    % (download_hash.digest_size, link, link.hash_name))
         raise InstallationError('Hash name mismatch for package %s' % link)
     if download_hash.hexdigest() != link.hash:
-        logger.fatal("%s hash of the package %s (%s) doesn't match the expected hash %s!"
-                     % (download_hash.name, link, download_hash, link.hash))
-        raise InstallationError('Bad %s hash for package %s' % (download_hash.name, link))
+        logger.fatal("Hash of the package %s (%s) doesn't match the expected hash %s!"
+                     % (link, download_hash, link.hash))
+        raise InstallationError('Bad %s hash for package %s' % (link.hash_name, link))
 
 
 def _get_hash_from_file(target_file, link):
diff --git a/tests/test_hashes.py b/tests/test_hashes.py
index 1e738f43b1d..79c4f164992 100644
--- a/tests/test_hashes.py
+++ b/tests/test_hashes.py
@@ -13,7 +13,7 @@ def test_get_hash_from_file_md5():
 
     download_hash = _get_hash_from_file(file_path, file_link)
 
-    assert download_hash.name == "md5"
+    assert download_hash.digest_size == 16
     assert download_hash.hexdigest() == "d41d8cd98f00b204e9800998ecf8427e"
 
 
@@ -23,7 +23,7 @@ def test_get_hash_from_file_sha1():
 
     download_hash = _get_hash_from_file(file_path, file_link)
 
-    assert download_hash.name == "sha1"
+    assert download_hash.digest_size == 20
     assert download_hash.hexdigest() == "da39a3ee5e6b4b0d3255bfef95601890afd80709"
 
 
@@ -33,7 +33,7 @@ def test_get_hash_from_file_sha224():
 
     download_hash = _get_hash_from_file(file_path, file_link)
 
-    assert download_hash.name == "sha224"
+    assert download_hash.digest_size == 28
     assert download_hash.hexdigest() == "d14a028c2a3a2bc9476102bb288234c415a2b01f828ea62ac5b3e42f"
 
 
@@ -43,7 +43,7 @@ def test_get_hash_from_file_sha384():
 
     download_hash = _get_hash_from_file(file_path, file_link)
 
-    assert download_hash.name == "sha384"
+    assert download_hash.digest_size == 48
     assert download_hash.hexdigest() == "38b060a751ac96384cd9327eb1b1e36a21fdb71114be07434c0cc7bf63f6e1da274edebfe76f65fbd51ad2f14898b95b"
 
 
@@ -53,7 +53,7 @@ def test_get_hash_from_file_sha256():
 
     download_hash = _get_hash_from_file(file_path, file_link)
 
-    assert download_hash.name == "sha256"
+    assert download_hash.digest_size == 32
     assert download_hash.hexdigest() == "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"
 
 
@@ -63,7 +63,7 @@ def test_get_hash_from_file_sha512():
 
     download_hash = _get_hash_from_file(file_path, file_link)
 
-    assert download_hash.name == "sha512"
+    assert download_hash.digest_size == 64
     assert download_hash.hexdigest() == "cf83e1357eefb8bdf1542850d66d8007d620e4050b5715dc83f4a921d36ce9ce47d0d13c5d85f2b0ff8318d2877eec2f63b931bd47417a81a538327af927da3e"