The 21-year-old model has been dating Cooper, 38, since meeting at the Elle Style Awards in London in February and insiders say the British beauty instigated their romance, reported Us magazine.
"Suki asked Harvey Weinstein to introduce her to Bradley because she said she needed to meet him. She wanted him and went after him. Now they're together all the time," a source said.
Although the relationship is casual right now, Suki is hoping Cooper will soon want it to get serious, though she is currently content just to be with him.