At the rate they're going, these two will be engaged by the end of the weekend!

Kanye West and Kim Kardashian went on a romantic date last night, this morning he released a new song professing his love for the reality TV starlet, and now they're at it again!

Kim and Kanye (can we call 'em Kimye?) lunched at Serafina restaurant this afternoon, and they were then spotted shopping at FAO Schwarz. Last night the duo caught a screening of The Hunger Games and went to see the theater production of Sleep No More, and after that they headed to Manderley Bar for some live music. They're filling a week's worth of activities into a 24-hour time frame -- looks like they can't get enough of each other!

Though the two have been friends for several years, Kim is reportedly "ready to give it a try" with the rapper, according to a source for Us Weekly. So does this mean we can expect more cheesy lyrics about the supercouple in the weeks to come? Can't wait.