diff --git a/src/bin/dbutil/dbutil.py.in b/src/bin/dbutil/dbutil.py.in
index f91c2768b7..a84448457f 100755
--- a/src/bin/dbutil/dbutil.py.in
+++ b/src/bin/dbutil/dbutil.py.in
@@ -197,10 +197,8 @@ UPGRADES = [
 
     {'from': (2, 0), 'to': (2, 1),
      'statements': [
-            # Enforce that only one NSEC3 RR exists for an owner name in
-            # the zone.
-            "CREATE UNIQUE INDEX nsec3_by_zoneid_and_owner ON nsec3 " +
-                "(zone_id, owner)"
+            "CREATE INDEX nsec3_byhash_and_rdtype ON nsec3 " +
+                "(hash, rdtype)"
         ]
     }
 
diff --git a/src/bin/dbutil/tests/testdata/v2_1.sqlite3 b/src/bin/dbutil/tests/testdata/v2_1.sqlite3
index 9eea287452..ca2dee92b7 100644
Binary files a/src/bin/dbutil/tests/testdata/v2_1.sqlite3 and b/src/bin/dbutil/tests/testdata/v2_1.sqlite3 differ
diff --git a/src/lib/datasrc/sqlite3_accessor.cc b/src/lib/datasrc/sqlite3_accessor.cc
index b89b2bc49a..68d655477a 100644
--- a/src/lib/datasrc/sqlite3_accessor.cc
+++ b/src/lib/datasrc/sqlite3_accessor.cc
@@ -111,11 +111,9 @@ const char* const text_statements[NUM_STATEMENTS] = {
 
     // ITERATE_NSEC3:
     // The following iterates the whole zone in the nsec3 table. As the
-    // RRSIGs are for NSEC3s, we can hardcode the sigtype. As there is
-    // only one RR per-owner per-zone, there's no need to order these
-    // for the sake of any post-processing.
+    // RRSIGs are for NSEC3s, we can hardcode the sigtype.
     "SELECT rdtype, ttl, \"NSEC3\", rdata, owner FROM nsec3 "
-        "WHERE zone_id = ?1",
+        "WHERE zone_id = ?1 ORDER BY hash, rdtype",
     /*
      * This one looks for previous name with NSEC record. It is done by
      * using the reversed name. The NSEC is checked because we need to
@@ -359,8 +357,7 @@ const char* const SCHEMA_LIST[] = {
         "ttl INTEGER NOT NULL, rdtype TEXT NOT NULL COLLATE NOCASE, "
         "rdata TEXT NOT NULL)",
     "CREATE INDEX nsec3_byhash ON nsec3 (hash)",
-    // Enforce that only one NSEC3 RR exists for an owner name in the zone.
-    "CREATE UNIQUE INDEX nsec3_by_zoneid_and_owner ON nsec3 (zone_id, owner)",
+    "CREATE INDEX nsec3_byhash_and_rdtype ON nsec3 (hash, rdtype)",
     "CREATE TABLE diffs (id INTEGER PRIMARY KEY, "
         "zone_id INTEGER NOT NULL, "
         "version INTEGER NOT NULL, "
diff --git a/src/lib/datasrc/tests/sqlite3_accessor_unittest.cc b/src/lib/datasrc/tests/sqlite3_accessor_unittest.cc
index 37c587414a..100a0ddc60 100644
--- a/src/lib/datasrc/tests/sqlite3_accessor_unittest.cc
+++ b/src/lib/datasrc/tests/sqlite3_accessor_unittest.cc
@@ -193,6 +193,9 @@ TEST_F(SQLite3AccessorTest, iterator) {
     checkRR(context, "www.example.org.", "3600", "A", "192.0.2.1");
     checkRR(context, "ns3.example.org.", "3600", "NSEC3",
             "1 1 12 aabbccdd 2T7B4G4VSA5SMI47K61MV5BV1A22BOJR A RRSIG");
+    checkRR(context, "ns3.example.org.", "3600", "RRSIG",
+            "NSEC3 5 3 3600 20000101000000 20000201000000 "
+            "12345 ns3.example.org. FAKEFAKEFAKE");
 
     // Check there's no other
     EXPECT_FALSE(context->getNext(data));
diff --git a/src/lib/datasrc/tests/testdata/example.org.sqlite3 b/src/lib/datasrc/tests/testdata/example.org.sqlite3
index 939e5e4c85..c799d2ef5a 100644
Binary files a/src/lib/datasrc/tests/testdata/example.org.sqlite3 and b/src/lib/datasrc/tests/testdata/example.org.sqlite3 differ
diff --git a/src/lib/python/isc/datasrc/sqlite3_ds.py b/src/lib/python/isc/datasrc/sqlite3_ds.py
index ef1245a303..dc80afdfbf 100644
--- a/src/lib/python/isc/datasrc/sqlite3_ds.py
+++ b/src/lib/python/isc/datasrc/sqlite3_ds.py
@@ -81,9 +81,7 @@ def create(cur):
                     rdtype TEXT NOT NULL COLLATE NOCASE,
                     rdata TEXT NOT NULL)""")
         cur.execute("CREATE INDEX nsec3_byhash ON nsec3 (hash)")
-        # Enforce that only one NSEC3 RR exists for an owner name in the zone.
-        cur.execute("""CREATE UNIQUE INDEX nsec3_by_zoneid_and_owner ON nsec3
-                        (zone_id, owner)""");
+        cur.execute("CREATE INDEX nsec3_byhash_and_rdtype ON nsec3 (hash, rdtype)")
         cur.execute("""CREATE TABLE diffs (id INTEGER PRIMARY KEY,
                     zone_id INTEGER NOT NULL,
                     version INTEGER NOT NULL,