The former light director, 74, was absent in Meghan Markle's Royal Wedding to Prince Harry in May.
The days prior to the big event were filled with controversy when it was revealed that he was performing a series of paparazzi recordings.
He was subsequently struck by illness and had to undergo heart surgery, which meant he could not travel to the UK.
Since then, Thomas has conducted numerous interviews with the press complaining that he was carved out of his daughter's life.
"He sees this as his last real chance to make up for it"
But now it has been revealed how desperate he is to revive his relationship with his daughter.
According to Express.co.uk, he told a friend: "I want to hold her in my arms once again and tell her that I will always love her."
The Duke and Duchess of Sussex are expected to visit the US soon and Thomas hopes to say sorry to the couple.
The friend added: "First, he wants to apologize to both of them, face to face, for some of the ill-considered things he has said and done.
"Then he wants to cuddle his daughter and tell her how proud he is of her and how much he loves her.
"He would love to walk her down the aisle and give her away on her magical big day and he will always be bitterly upset and frustrated that he should stay in bed instead of heart surgery."
Thomas now hopes that the meeting will continue in the US.
He prays whether Meghan or Harry or one of their associates contacts him to arrange a private meeting when they come to America & # 39 ;, would have added his friend to Express.co.uk.
"He sees this as his last real chance to make up for and restore contact with his daughter before that door closes forever.
"He is 74 and desperate for his last years to be happy and peaceful."
Meghan's half-sister has also given countless interviews in which the former actress and the royal family were beaten.
The last wicked barb of Samantha Markle said Meghan would be responsible if their father died.