Are Gwen Stefani and Blake Shelton ready to move in together after about one year of dating?

According to a new report, Stefani and Shelton appeared to be shopping for their potential joint residence during a recent outing to Home Depot with Stefani's youngest son, Apollo, 2.

"The PDA fest continues! After being snapped making out after a lunch date, Gwen Stefani and Blake Shelton did the ultimate couples activity: shopping for their home!" OK! Magazine reported on Monday. "The lovebirds, who just celebrated their anniversary, were spotted on Oct. 14 shopping together at Home Depot with Gwen’s 2-year-old son Apollo in Studio City."

In photos from the outing, Shelton, who does not yet have any children of his own, was seen carrying Apollo. In the past, Shelton has also been photographed with Stefani's older sons, Kingston, 10, and Zuma, 8, and appears to be close with them, as well.

As for what the future holds when it comes to starting a family of their own, Stefani and Shelton have been linked to rumors for the past several months, which claim Stefani is expecting a baby -- or two.

Earlier this month, Life & Style claimed Stefani and Shelton were planning for both a baby and a wedding.

“Blake Shelton is set to become a first-time dad (and third-time husband!) with Gwen Stefani by his side,” a source told the magazine, according to a report by Gossip Cop. "Over the past few months, [Stefani] has been planning a blowout Christmas wedding and trying to get pregnant.”

“Friends believe she already could be pregnant,” the insider continued. “She’s been eating a lot of carbs, which she never eats except when she’s pregnant. [Stefani] wants a baby girl after years of feeling outnumbered at home, [but] expecting a baby wouldn’t make her postpone her nuptials... She wouldn’t want to be an unwed mother at the time of the baby’s birth, so she’ll definitely be marrying Blake before then.” 

In response to the story, a rep for Stefani told Gossip Cop that it is “untrue” that Stefani is pregnant and marrying Shelton.