According to The Sun, the 35-year-old rapper has already asked the reality star to marry him after welcoming new daughter North West into their world June 15.
The couple is said to be planning a September wedding in Paris, though those details have not been confirmed by their reps.
The tabloid claims the famous couple is planning a September wedding in Paris.
West has not yet given Kardashian, 32, an engagement ring, but he reportedly handed her an expensive, rare black diamond to commemorate the birth of their daughter.
Kim Kardashian and Kanye West welcomed baby North West on June 15.
"Kanye hasn't left Kim and the baby's side," a source close to the couple told People.
Though reps for the famous couple have not confirmed the latest rumors, Kardashian has indicated she's ready and willing to walk down the aisle again.
Kanye gave Kim a rare black diamond to commemorate the birth of their baby daughter, according to reports.
"I do think I would get married again," she told Ryan Seacrest in an April interview. "That's what I've always wanted. And just because you think you find it and you realize that's not it, I think I was brave enough to realize that quickly and not waste time."
Kardashian's infamous divorce to basketballer Kris Humphries was finalized June 3, despite their marriage ending 72 days after they wed Aug. 20, 2011.
Kardashian and West have been inseparable since the birth of their new baby, friends and family say.
According to VH1's "Gossip Table" sources, West may have made the decision to pop the question after recently speaking to friend and mentor Jay-Z, who told him being married and having a family is more fulfilling than being just a baby daddy.
Of course, Jay-Z knows a thing or two about marrying a celebrity — he and superstar singer Beyoncé are parents to Blue Ivy Carter.
West could also learn a thing or two from Jay-Z and Beyoncé about taking his family on tour when the rapper launches his "Yeezus" road show later this year.
Though he hasn't announced any dates, West's album co-producer Mike Dean confirmed the autumn tour is happening.
An early US Weekly report claimed preparations were being made within West's tour to accommodate the new baby on board.