On his YouTube show yesterday, director and film critic John Campea claims that "a Hollywood producer" told him the news, which another source then allegedly confirmed.
Gyllenhaal was also one of the names mentioned to be the Caped Crusader in Christopher Nolan's reboot, but of course that went to Christian Bale.
Right now, having the star of "Donnie Darko" and "Nocturnal Animals" as the new Batman is ridiculously far from a sure thing. But fans seem to be embracing the idea of Gyllenbat. (Bat-haal)?
Rumours months ago that Jake Gyllenhaal might be the top choice to replace Affleck as Batman. There popping back up again.— GeekVerse Podcast (@GeekVerseCast) November 16, 2017
I'd love it. He is one of the best actors today. He would be a great choice. #JusticeLeaguepic.twitter.com/VwonBgn42j
Although at least one had a specific condition before Gyllenhaal can don the bat cowl.
Another suggested (no doubt based on Gyllenhaal's terrifying performance in "Nightcrawler") that he'd make a better Joker than Batman:
I accept Jake Gyllenhaal on ONE condition: They include the Rachel Dawes character (then played by Maggie Gyllenhaal) from the Nolan films, so we can make jokes about how Batman was way into his own sister. 😂— 11thHourQuest (@11thHourQuest) November 17, 2017
The only person Jake Gyllenhaal should be replacing is Jared Leto. He would make an outstanding Joker. https://t.co/k9NeW2kXCT— Jeremy Hutchinson (@Themightyhutch) November 17, 2017