Hi Pooja,
It's quite normal for a one month old baby to go without passing stools for many days or sometimes even a week. As long as the baby is playful, not vomiting and without swollen tummy you can wait for him to pass stools on his own. Continue to feed him as usual. Take care. I would be glad to help you if you had more queries. I am available at
https://www.cloudninecare.com/doctors/dr-nazarath-nirmal-raj18