"My 14-year-old daughter Aalia is a human encyclopaedia on Lady Gaga! Hence little one's been named Gaga, " tweeted Pooja.
She also posted a picture of the puppy wearing a neck band with 'Gaga' written over it.
The puppy has been gifted to Aalia by the 42-year-old's reported new beau, Akashdeep Sehgal, better known as Sky.
"Sky presented my daughter with this adorable Shih Tzu, " she had earlier posted.
Pooja and Akashdeep became thick friends while they were participants on reality show "Bigg Boss" last year.