Evan Ross and Ashlee Simpson on lunch date

They were spotted holding hands during a night out on Monday, sparking rumours that they're tinseltown's hottest new couple.

And it seems that things might be getting serious between Ashlee Simpson and Evan Ross as the pair headed out for lunch together the very next day.

Supporting speculation that their relationship is heating up, they arrived in the same car at the West Hollywood eatery on Tuesday, before meeting up with a group of friends.

Evan, 24, and 28-year-old Ashlee had clearly been home to change since their evening at Teddy's nightclub, sporting more casual attire.

But it seems that the pair hadn't left each others' sides, arriving and leaving the restaurant together after their date night.