Inside Gaming Daily claims to have been told by a "well-placed anonymous source" that a bundle containing the two consoles will release at "the end of the year" for "around $500" which sounds wildly reasonable.
Sony has yet to announce any form of PS4/PS Vita bundle, but has been keen to push PlayStation Vita's functionality with its upcoming next-gen platform.
PlayStation Vita can be used to stream all PS4 titles directly via Remote Play and as a second-screen device. Sony has previously described the device as a "PS4 in your pocket". It'll be interesting to see if Sony will announce the bundle, we may even get an announcement at Gamescom later this year.