The couple have reportedly been spotted together at numerous Vegas locations and Murgatroyd -- who was recently crowned Dancing with the Stars' fourteenth-season champion alongside celebrity partner Donald Driver -- also accompanied Chmerkovskiy at the opening of his new dance studio in Connecticut last week.
However, fans probably shouldn't expect Murgatroyd and Chmerkovskiy to confirm their relationship any time soon.
"I'm here to support Maksim," Murgatroyd said at the opening of the new Dance With Me studio, which Chmerkovskiy opened with his brother Val Chmerkovskiy and fellow Dancing with the Stars pro Tony Dovolani, according to People.
Chmerkovskiy also dodged questions about the status of their relationship at the event.
"I try to keep certain things private just because -- what's the politically correct way of saying it? It's none of anybody's business," Chmerkovskiy added. "It's very intimate and personal."
Murgatroyd is not only publicly playing coy about whether she's dating Chmerkovskiy, but she's also reportedly privately denying anything romantic is going on between them.
"It's early but I think this will last," a source told People. "They're a good match, a good couple. She says they're not dating but they are. Everyone knows it."
Reports Murgatroyd and Chmerkovskiy are currently dating first surfaced earlier this month.
Murgatroyd made her debut as a professional partner during Dancing with the Stars' thirteenth season after previously being a member of the show's supplementary troupe, while the recently-concluded fourteenth season was the twelfthDancing with the Stars edition for Chmerkovskiy, who joined the show for its second season back in 2006.