That's according to Eurogamer, which claims to have learnt that a future PS3 firmware update will introduce the functionality.
Back-catalogue titles will reportedly only display at the PSP's 480x272 resolution, although this will be upscaled to fill the screen.
But new games will have the option of including Vita specific 480p playback.
SCE Worldwide Studios president Shuhei Yoshida used his keynote address at last year's Tokyo Game Show to demonstrate PS Vita's Remote Play functionality, which you can see in the video below.
He showed off Killzone 3 being played remotely with Vita as the controller. While the new handheld doesn't offer all of the PS3 pad's buttons, the game makes use of the portable's rear touch panel.