Vanessa Trump has supported Tiger Woods as he seeks treatment following his recent DUI arrest. A source tells PEOPLE that the model has been by Woods' side as he recovers from his rollover crash near Jupiter Island, Fla., on March 27. The source adds that Woods and his girlfriend, Vanessa, have a strong bond and have been in favor of intensive therapy. Despite the challenges Woods is facing, Trump remains positive about his future and believes that her optimistic outlook is good for him. Both Woods and Trump have remained in communication throughout the ordeal.