The 25-year-old shared a snap of her leg, which featured two long claw marks down her thigh presumably from the paws of her husky Jack.
Accompanying the image, which she shared on Instagram, the Mickey and the Bear star wrote: “Get a husky!’ they said. ‘It will be fun!’ they said.”
Last month, it was reported that DiCaprio and Morrone had split up having spent five years together after growing apart.
The Revenant star and the model-turned-actress are believed to have “quietly” gone their separate ways shortly after her 25th birthday on June 16.
The 47-year-old, who has a reputation for never publicly dating a woman over 25, appears to have his sights set on Hadid, 27, after they were seen together publicly for the first time on Monday.
In pictures obtained by MailOnline, the pair looked close as they attended a party hosted by his pals Richie Akiva and Darren Dzienciol, at Casa Cipriani in Soho.
In one of a number of shots, the Titanic star could be seen placing his hands on the model’s shoulders, while they were seen several times leaning over a table to whisper into each other’s ears.
A source close to the couple told Page Six that while they are now dating, they are still “taking it slow” and are hanging out both as a couple and in groups.
The insider added: “[DiCaprio] is not someone who is in and out of relationships. He doesn’t jump around hooking up. They are taking it slow.”
She shared the photographs after it was reported that DiCaprio is “getting to know” the supermodel, with multiple sources telling People magazine that the pair have been seen hanging out around NYC but insisted they’re not “dating”.
A second insider claimed: “Leo is definitely pursuing Gigi,” while another added, “They’ve been seen hanging out with groups of people.
“It’s only been a few weeks since the split. Since then, he’s been hanging out with friends and family.”
Hadid split from One Direction boybander Zayn Malik in October 2021, after dating on and off since 2015. The former couple had a daughter, named Khai, in September 2020.