The 'Hello' hitmaker originally said he was ''scared to death'' at the thought of his 19-year-old daughter dating the 34-year-old reality star - who has three children, Mason, seven, Penelope, five, and Reign, two, with his former partner Kourtney Kardashian - but Sofia has now insisted her father is ''cool'' with the situation.
Speaking to E! News, Sofia said: ''He's good. He's been very nice. He's been very cool. He's very supportive, whatever that means.''
Sofia's comments come after Lionel, 68, previously expressed is concern at the 15 year age gap between his daughter and the 'Keeping Up with the Kardashians' star.
He said: ''Have I been in shock?! I'm the dad, come on. I'm scared to death, are you kidding me?''
The music legend is also said to be concerned that Scott's ''playboy ways'' could pose heartbreak for his daughter in the future.
A source said previously: ''He thinks Scott is the worst person she could ever see and that he raised her better than that. He thinks she should have more respect for herself as a young woman. Lionel knows Scott's playboy ways and he doesn't want to see his daughter get hurt.''
Meanwhile, sources recently claimed that Sofia and Scott - who confirmed their relationship in September after having first been spotted together in Cannes in May - are ''still going strong''.
An insider said: ''[Scott and Sofia] are still going strong [and] having a great time. [They are] happy and having fun for now.''
Before the pair had officially confirmed their romance, they were said to be ''smitten'' with one another, and had been ''inseparable'' since returning to LA after their trip to the French city, which saw Scott spend time with a bevy of babes, including actress Bella Thorne.
A source said at the time: ''Since returning to LA, Scott and Sofia are inseparable. They are spending every day together. Sofia seems smitten. It's obvious that she looks up to Scott. She constantly giggles around him. They are very flirty. Scott takes care of her, opens the car door and pays for everything.''