diff --git a/integration/update_compat_test.go b/integration/update_compat_test.go
index 3839d3f5725d..2acd6f731d90 100644
--- a/integration/update_compat_test.go
+++ b/integration/update_compat_test.go
@@ -42,8 +42,7 @@ type updateCompatTestCase struct {
 	resultType  compatTestCaseResultType // defaults to nonEmptyResult
 	providers   []shareddata.Provider    // defaults to shareddata.AllProviders()
 
-	skip          string // skips test if non-empty
-	skipForSQLite string // optional, if set, the case is skipped for SQLite due to given issue
+	skip string // skips test if non-empty
 }
 
 // testUpdateCompat tests update compatibility test cases.
@@ -59,10 +58,6 @@ func testUpdateCompat(t *testing.T, testCases map[string]updateCompatTestCase) {
 				t.Skip(tc.skip)
 			}
 
-			if tc.skipForSQLite != "" {
-				t.Skip(tc.skipForSQLite)
-			}
-
 			t.Parallel()
 
 			providers := shareddata.AllProviders()
@@ -554,18 +549,16 @@ func TestUpdateCompat(t *testing.T) {
 			replace: bson.D{},
 		},
 		"ReplaceNonExistentUpsert": {
-			filter:        bson.D{{"non-existent", "no-match"}},
-			replace:       bson.D{{"_id", "new"}},
-			replaceOpts:   options.Replace().SetUpsert(true),
-			resultType:    emptyResult,
-			skipForSQLite: "https://github.com/FerretDB/FerretDB/issues/3183",
+			filter:      bson.D{{"non-existent", "no-match"}},
+			replace:     bson.D{{"_id", "new"}},
+			replaceOpts: options.Replace().SetUpsert(true),
+			resultType:  emptyResult,
 		},
 		"UpdateNonExistentUpsert": {
-			filter:        bson.D{{"_id", "non-existent"}},
-			update:        bson.D{{"$set", bson.D{{"v", int32(42)}}}},
-			updateOpts:    options.Update().SetUpsert(true),
-			resultType:    emptyResult,
-			skipForSQLite: "https://github.com/FerretDB/FerretDB/issues/3183",
+			filter:     bson.D{{"_id", "non-existent"}},
+			update:     bson.D{{"$set", bson.D{{"v", int32(42)}}}},
+			updateOpts: options.Update().SetUpsert(true),
+			resultType: emptyResult,
 		},
 	}
 
diff --git a/internal/handlers/sqlite/msg_update.go b/internal/handlers/sqlite/msg_update.go
index baa23e58c4e1..2ea27e5fd189 100644
--- a/internal/handlers/sqlite/msg_update.go
+++ b/internal/handlers/sqlite/msg_update.go
@@ -44,15 +44,32 @@ func (h *Handler) MsgUpdate(ctx context.Context, msg *wire.OpMsg) (*wire.OpMsg,
 	// TODO https://github.com/FerretDB/FerretDB/issues/2612
 	_ = params.Ordered
 
+	var we *writeError
+
 	matched, modified, upserted, err := h.updateDocument(ctx, params)
 	if err != nil {
-		return nil, lazyerrors.Error(err)
+		switch {
+		case backends.ErrorCodeIs(err, backends.ErrorCodeInsertDuplicateID):
+			// TODO https://github.com/FerretDB/FerretDB/issues/3263
+			we = &writeError{
+				index:  int32(0),
+				code:   commonerrors.ErrDuplicateKeyInsert,
+				errmsg: fmt.Sprintf(`E11000 duplicate key error collection: %s.%s`, params.DB, params.Collection),
+			}
+
+		default:
+			return nil, lazyerrors.Error(err)
+		}
 	}
 
 	res := must.NotFail(types.NewDocument(
 		"n", matched,
 	))
 
+	if we != nil {
+		res.Set("writeErrors", must.NotFail(types.NewArray(we.Document())))
+	}
+
 	if upserted.Len() != 0 {
 		res.Set("upserted", upserted)
 	}