The 38-year-old told Entertainment Tonight at the Golden Globe Awards that it was too late for a romance with Lawrence, 22.
"If it didn't happen by now, it's not gonna happen," he said. "I could literally be her father."
Rumours of Cooper's relationship with Lawrence have intensified since they both recently split with their respective partners Zoe Saldana and Nicholas Hoult.
Lawrence won the 'Best Actress (Musical or Comedy)' award for her role in Silver Linings Playbook at last night's (January 13) Golden Globes ceremony in Beverly Hills.
Accepting her award, the Hunger Games actress quipped: "What does this say? 'I beat Meryl!'"
Cooper, meanwhile, lost out to Les Misérables star Hugh Jackman in the 'Best Actor (Musical or Comedy)' category.
nominated for Oscars for their work on Silver Linings Playbook.
Watch the trailer for Silver Linings Playbook below: