With a new season of "Dancing With the Stars" also comes a new bash of dating rumors - and first on the list is "Shark Tank" panelist Robert Herjavec and his dancing partner Kym Johnson.

The 38-year-old Australian dancer and the 51-year-old investor reportedly started dating last month, before the "DWTS" contestants were announced, and started dating immediately.

A source told PEOPLE that Herjavec and Johnson "came in holding hands and were caressing each other's backs," while another witness told Us Weekly that the pair was dancing closely and "even stealing a few kisses" at the DWTS Season 20 premiere after-party on Monday.

"Kym and Robert were definitely attracted to each other from the get-go," a source told the magazine. "They are constantly all over each other. She can't stop talking about what a good, nice guy he is. They have insane chemistry and are actually a great match."

Sources added that Herjavec, a technology mogul who is worth over $100 million, has promised Johnson one of his Ferraris if they win "DWTS." The two scored a 28 out of 40 with their cha-cha to "Bills" on this week's episode.

Despite the rumors, Herjavec told People that he's enjoying his time on the dancing show.

"The entire cast and crew of Dancing with the Stars is evolving into an extended family and is incredibly supportive," he said. "Kym has become a great friend, and it is so much fun to be able to share this experience with her."

Herjavec is separated from his wife of nearly 25 years, Diane Plese. The pair has three children together, daughters Caprice and Skye and son Brendan. Johnson was previously engaged to Australian cricket player Shane Watson.