Nick Young & Iggy -- We're Talking Marriage ... Bought a House Together

Seems Nick Young and Iggy Azalea are one step closer to the alter ... because they just bought a house together -- and Nick says they've started talking about marriage.

Nick just spilled his guts about his relationship with the rapper to DuJour Magazine ... saying, "Me and Iggy just bought a house. We’ve been getting really close lately. I’ve never been with somebody like this."

The couple has only been dating for about a year ... but when Nick was asked if the two have talked about getting married, he replied, "It’s come up a couple times."

Nick wouldn't say if they have a time-table on tying the knot -- but ya don't just buy a house with someone you don't plan on being with for a while.

Other highlights from the interview:

-- They bicker (like every couple) ... "We fight over the TV remote because she watches TLC and the Weather Channel all night. We argue all the time, but we get it worked out. We understand each other."

-- Iggy wants Nick to dress better ... "I like shopping a lot, but Iggy’s been on my back saying I should get a stylist." He adds, "She picked out my outfit for the ESPY [Awards] and everybody loved it, so now she thinks she’s my stylist."