Nathan Rawling, from Gravesend, told Maidstone Crown Court the baby's mother was responsible for the attack in December 2011.
An official announcement is not expected until next month, but BBC Sport boxing commentator John Rawling understands that the "deal is done".
Mr Rawling has denied the charge of grievous bodily harm with intent.
Mr Rawling denied grievous bodily harm with intent at Maidstone Crown Court.
BBC: Nathan Rawling accused of 'frenzied, brutal' baby attack
At this point Ms Rawling said staff at the SWT "feared that might have been the last we would see of this bird".
BBC: 'Oldest' breeding osprey lays 62nd egg at Loch of the Lowes
Nathan Rawling, 36, formerly of St Gregory's Crescent in Gravesend, Kent, was jailed for 10 years for causing life-threatening injuries to the boy.
BBC: Kent baby attack injuries 'could not have been prevented'
The court heard Mr Rawling told police officers the baby stopped breathing and the injuries were caused by his attempts to resuscitate him.
BBC: Nathan Rawling accused of 'frenzied, brutal' baby attack
The trial has heard how Mr Rawling told police officers the baby stopped breathing and the injuries were caused by his attempts to resuscitate him.
Nathan Rawling, of Gravesend, is accused of inflicting life-threatening injuries, including two punctured lungs and 26 rib fractures, in December 2011 during one "catastrophic assault".
BBC: Nathan Rawling accused of 'frenzied, brutal' baby attack
Ms Rawling said Lady kept "surprising" experts at the SWT.
BBC: 'Oldest' breeding osprey lays 62nd egg at Loch of the Lowes
Rawling's Cakes, which specialises in gluten-free and dairy-free baked goods, serves items such as vanilla and blueberry cupcakes, chocolate macadamia nut brownies, and carrot, lime and black cardamom muffins.
Rawling was convicted of causing grievous bodily harm with intent following a trial at Maidstone Crown Court in which he claimed the child's mother had carried out the attack.
BBC: Kent baby attack injuries 'could not have been prevented'
Former winner Charlie Spedding joins John Inverdale for Radio Five Live's coverage of the Flora London Marathon between 0830 and 1215, with commentary on the elite races from John Rawling, Mike Costello and Chicago Marathon winner Marion Sutton.
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