diff --git a/test/openssl/test_digest.rb b/test/openssl/test_digest.rb
index e206ca0283..8b724a03a9 100644
--- a/test/openssl/test_digest.rb
+++ b/test/openssl/test_digest.rb
@@ -58,7 +58,10 @@ class OpenSSL::TestDigest < Test::Unit::TestCase
   end
 
   def test_digest_constants
-    algs = %w(DSS1 MD4 MD5 RIPEMD160 SHA SHA1)
+    algs = %w(DSS1 MD4 MD5 RIPEMD160 SHA1)
+    if !libressl?  || !version_since([2,3])
+      algs += %w(SHA)
+    end
     if OpenSSL::OPENSSL_VERSION_NUMBER > 0x00908000
       algs += %w(SHA224 SHA256 SHA384 SHA512)
     end
@@ -122,6 +125,14 @@ class OpenSSL::TestDigest < Test::Unit::TestCase
     d = OpenSSL::Digest.new(oid.oid)
     assert_not_nil(d)
   end
+
+  def libressl?
+    OpenSSL::OPENSSL_VERSION.include?('LibreSSL')
+  end
+
+  def version_since(verary)
+    (OpenSSL::OPENSSL_LIBRARY_VERSION.scan(/\d+/).map(&:to_i) <=> verary) != -1
+  end
 end
 
 end