diff --git a/conn.go b/conn.go
index a7a5ef73d..fc72c732e 100644
--- a/conn.go
+++ b/conn.go
@@ -1354,7 +1354,7 @@ order by attnum`,
 }
 
 func (c *Conn) deallocateInvalidatedCachedStatements(ctx context.Context) error {
-	if c.pgConn.TxStatus() != 'I' {
+	if txStatus := c.pgConn.TxStatus(); txStatus != 'I' && txStatus != 'T' {
 		return nil
 	}
 
diff --git a/conn_test.go b/conn_test.go
index 75861053c..df8c9186f 100644
--- a/conn_test.go
+++ b/conn_test.go
@@ -1369,3 +1369,42 @@ func TestConnDeallocateInvalidatedCachedStatementsWhenCanceled(t *testing.T) {
 		require.EqualValues(t, 1, n)
 	})
 }
+
+// https://github.com/jackc/pgx/issues/1847
+func TestConnDeallocateInvalidatedCachedStatementsInTransactionWithBatch(t *testing.T) {
+	t.Parallel()
+
+	ctx := context.Background()
+
+	connString := os.Getenv("PGX_TEST_DATABASE")
+	config := mustParseConfig(t, connString)
+	config.DefaultQueryExecMode = pgx.QueryExecModeCacheStatement
+	config.StatementCacheCapacity = 2
+
+	conn, err := pgx.ConnectConfig(ctx, config)
+	require.NoError(t, err)
+
+	tx, err := conn.Begin(ctx)
+	require.NoError(t, err)
+	defer tx.Rollback(ctx)
+
+	_, err = tx.Exec(ctx, "select $1::int + 1", 1)
+	require.NoError(t, err)
+
+	_, err = tx.Exec(ctx, "select $1::int + 2", 1)
+	require.NoError(t, err)
+
+	// This should invalidate the first cached statement.
+	_, err = tx.Exec(ctx, "select $1::int + 3", 1)
+	require.NoError(t, err)
+
+	batch := &pgx.Batch{}
+	batch.Queue("select $1::int + 1", 1)
+	err = tx.SendBatch(ctx, batch).Close()
+	require.NoError(t, err)
+
+	err = tx.Rollback(ctx)
+	require.NoError(t, err)
+
+	ensureConnValid(t, conn)
+}