"There are plans to get married, but it's been a wild start to the year," Zac, 37, told Us on Thursday.
"Is there a wedding date at this very moment? No. Will there be [eventually]? Yes," Zac said.
While Zac didn't reveal any specifics about his future nuptials, he didn't seem thrilled about the idea of televising his wedding to Tayshia like many Bachelor Nation couples before them -- including Jade Roper and Tanner Tolbert as well as Sean Lowe and Catherine Giudici.
"I would say probably not, knowing us," Zac noted. "I would say that's probably a 'no,' but hey, happy wife, happy life. So, whatever she wants, I'm in."
Tayshia selected Zac over her runner-up Ben Smith in her final days of filming The Bachelorette last year, and the couple got engaged at the Final Rose Ceremony that aired on December 22, 2020.
Following their engagement, Tayshia and Zac enjoyed the holidays together and then Tayshia decided to move to New York City to be with her man.
In a February 2021 interview with Marie Claire, Tayshia revealed the couple still resides in New York but the once-divorced The Bachelorette star decided to keep her own place in California "for peace of mind" since this is "not [her] first rodeo."
"Coming out of that [TV environment], I think we had a strong foundation, and then it's about, like, digging in together and getting to know each other and understanding each other's lives," Zac told Us of his post-show journey with Tayshia.
"We're both passionate, driven, busy human beings. And with that, we need to remind ourselves to work each other into it and we've done [that]."
"There's all these weird rumors circulating around that I'm not wearing my ring and that Zac and I are broken up. I don't know what is happening," Tayshia said on Instagram Stories.
Tayshia previously admitted she and Zac go "back on forth" on how soon she should walk down the aisle.
"At first, Zac was the person to be like, 'We could get married next week.' And I was like, 'Slow your roll.' I'd love to date a year. And now I'm like, 'You want to [marry] maybe next month?' And he's like, 'Tayshia, slow your roll,'" Tayshia explained to Marie Claire.
"We're back and forth. But there's no timeline. It's definitely going to happen. I just don't know when."
The social-media influencer and former phlebotomist even confessed she is "obsessed" with Zac, who reportedly separated from his wife Jennifer Stanley-George in January 2011 less than two years after they got married in June 2009.