According to Royal biographer Duncan Larcombe, Mr Markle may never be granted the opportunity to meet baby Sussex who is due any day now.
“I can’t think for a minute that Thomas Markle will ever be able to meet his grandson or granddaughter," Mr Larcombe told a new TLC documentary Meghan and Harry: A Royal Baby Story.
The claims come after Mr Markle appeared on Good Morning Britain where he revealed he was still hopeful Meghan will reach out to him and allow him to meet his grandchild.
Meanwhile, a friend of the former Hollywood lighting director told the Express that Thomas can't wait for his daughter to give birth.
“He is genuinely thrilled that his daughter is expecting her first child later this month," the pal explained.
"He’s been looking around baby stores for an appropriate gift to send.
“He even jokes the new arrival was likely to be showered with expensive baby items from Tiffany with a little ‘Welcome to Tijuana’ t-shirt from him in the middle."