The former Eastenders actress, 40, and 24-year-old Tom recently got engaged while on holiday in Majorca, and they were also said to be looking at wedding rings on the shopping trip.
Even though Danniella was dressed in a baggy grey T-shirt, what looked like a hint of baby bump was visible.
A source told The Sun: “they are both over the moon. It’s not something they planned but their romance has been intense.
“People may turn their noses up at the fact they’ve only been together three months but they’re really in love.”
Although she hasn’t confirmed that she and Tom are expecting, Danniella told Closer this month: “We are trying for a baby now, I can’t wait to get pregnant!
“He’s not a baby, all his milk teeth have fallen out. He’s ready to be a dad. I’m broody and I want to have a baby with him. He’ll be a great father.”
Danniella is already mum to daughter Jody and 17-year-old son Kai. She recently split from her husband of 13 years Kevin Jenkins.
A source told The Sun of Tom’s proposal: “She’s over the moon. They booked a romantic break to Palma in Spain and tom thought it was the perfect opportunity to show her how much she meant to him.”
Danniella and Tom are yet to address the pregnancy rumours.