Pitt wants to 'remain a constant and active figure in their lives', a source was quoted as saying.
Jolie filed for divorce from the 53-year-old Allied actor in September 2016.
Pitt is said to have 'broken down in tears so many times - he's not ashamed to cry'.
Pitt split from Jolie in September and is currently embroiled in a bitter custody battle.
Pitt and Jolie were together for 11 years before filing for divorce in September, 2016.
Pitt celebrated his 53rd birthday on 18 December enjoying a mellow dinner with close friends.
Pitt has reportedly been permitted to deliver gifts in the morning but has to leave by early afternoon.
'I'm hoping to see my grandchildren' for Christmas admits Voight.
This comes after an earlier report claimed Pitt was bothered by Jolie's blossoming friendship with Arminka Helic and Chloe Dalton.
Pitt and Jolie have currently agreed on a temporary custody settlement involving their children.
Leaked court documents reveal Pitt's therapy and visitation schedule in detail.
Request denied as the judge felt it was not an emergency action but it will be reviewed in January.
Actor has been granted 'therapeutic visitations' to his children as per the terms of custody agreement.
Pitt and Aniston split in January 2005 after 5 years of marriage.
Pitt was reportedly unhappy after Jolie did not invite him for Thanksgiving dinner with his children.
Pitt was recently linked to actress Kate Hudson, but the reports were soon debunked.
Jolie filed for divorce on 19 September citing irreconcilable differences with Pitt.
The French actress said that as well as being a committed professional, Pitt is 'such a good man.'
Angelina Jolie had filed for divorce from Pitt on 19 September, citing irreconcilable differences.
Jolie filed for divorce from Pitt in September, 2016.
'Pitt has rarely been less interesting,' says Hollywood Reporter of new World War II romantic thriller.
Earlier, a report suggested that Jolie tried to block Pitt from casting Robbie in his movie The Big Short.