It has been a month since Justin Bieber and Selena Gomez reignited their romance with several public outings that included romantic date nights, bike rides and strolls in the park. They were even spotted kissing at a hockey game recently.

The Life&Style magazine claimed that the two are also house hunting in California, with a source saying, "It was Selena's idea, and Justin is all for it."

The source said: "He's already looking at homes in the Calabasas, CA area. They just can't wait to start their life together." The person added that staying together in a house will mark "the beginning of what they hope will be a very long life together".

"They've both grown up so much. Being apart was crucial for them to move on and to realise they were meant to be together," the source said. "Buying a home to live in as a couple will seal the deal."

While living under the same roof would be a big step to take in their lives, it seems like Bieber not only wants to live with the songstress, but wants to take their relationship to the next level.

According to a report from Us Weekly that cites a source, Bieber wants to "marry" Gomez in the near future. The Sorry singer "wants to be a better person for Selena" despite the mistakes he has made in the past, the report adds, according to HollywoodLife.

Although Bieber wants to become a better version of himself, near and dear ones of Gomez, 25, aren't convinced the 23-year-old is capable of true change.

"Selena has gotten criticism from [her loved ones], but she reiterated that she sees a different side of Justin this time," the source said. "Her friends and family trust her judgement. For now, they are happy that she is so happy."

The couple have started dating again after ending their four-year romance in 2014.