Conner told CBS News: "Knowing he's alive because of Abbey, Abbey is alive inside of him - it's her heart having him stand up straight."
The grieving father decided to embark on a mammoth 4200km bike ride to visit the Broward Health Medical Centre - the hospital where Abbey's organs were recovered in January.
Abbey, who was just 20, had died five months earlier when she and her brother were found unconscious and face down in a resort pool over winter break in Cancun, Mexico.
By the time they were discovered Abbey had suffered irreversible brain damage.
She was kept on life-support for a number of days until doctors were able to harvest her organs.
Abbey had donated four organs, which meant four men, aged 20 to 60, were able to live.
When Conner told the Florida donation centre about his plans to ride on her behalf, letters were sent to recipients of Abbey's organs - asking whether they would be interested in meeting her father.
"The only person who has responded at this point is Jack Jr., the heart recipient", said Conner.
The pair arranged to meet 2200km into Conner's trip, at Baton Rouge on Father's Day.
They shared a minute-long hug, and Jack retrieved a stethoscope so Conner could hear his daughter's heartbeat for the first time since she died.
Surrounded by Jack's friends and family, both men began to tear up.
After listening to the heartbeat for some time, Conner jokes: "Well, it's working!"
Before he continued on his 4200km journey, he added: "She's alive. Jack's alive and she's alive. It's her heart.
"This isn't about me. This is about Abbey and helping other people in need."
Conner has started a GoFundMe to bring awareness to the impact of organ donation, with all proceeds going to Donate Life America (DLA) and his "life saving" bike trip in honour of Abigail.