Kim Kardashian, Kanye West -- In a Big Hurry to Get Married

Kim Kardashian and Kanye West will not have a long engagement -- sources close to the couple tell TMZ the engagement will be very short and the wedding will happen quickly.

We're told it's Kanye more than Kim that wants the wedding to happen STAT.

As for what kind of wedding ... we're told it's going to be "a blow out."

But Kim and Kanye aren't all smiles. Our sources say they are PISSED OFF that someone present at AT&T Park secretly taped the proposal and leaked it. The couple thinks they know who did it, and that person signed a confidentiality agreement. We're told a lawsuit is imminent.

BTW ... North West was at the ballpark.