How to lazily read big Excel 2007 files with Apache POI

I'd like to read a big Excel 2007 file with Apache POI. Quick start guide states that a File should be used to conserve memory.

When opening a workbook, either a .xls HSSFWorkbook, or a .xlsx
XSSFWorkbook, the Workbook can be loaded from either a File or an
InputStream. Using a File object allows for lower memory consumption,
while an InputStream requires more memory as it has to buffer the
whole file.

I therefore wrote approximately this:

opcPackage = OPCPackage.open(file);
XSSFWorkbook workbook = new XSSFWorkbook(opcPackage);
XSSFSheet sheet = workbook.getSheetAt(0);
rows = sheet.rowIterator();
if (rows.hasNext()) {
Row row = rows.next();
    System.out.println(row.getCell(1).getStringCellValue());
}

However that results in a java.lang.OutOfMemoryError: Java heap space for a sheet with more than approximately 10000 rows.

I was hoping that iterating only lazily loads those rows that are to be read, like a stream.

How can I get around memory issues with large Excel files? Can I read lazily with Apache POI?