Meyer was nearing the 30,000-follower mark at the same time.
Stoops hasn't exactly had a fond relationship with Twitter in the past.
Three years ago, Jaz Reynolds was suspended for a tweet he posted shortly after a gunman opened fire in the University of Texas library.
“Hey everyone in Austin, tx…….kill yourself #evillaugh,” Reynolds tweeted.
When Kameel Jackson was suspended last year, he took to Twitter to announce he was transferring to Texas A&M, which drew an admonishment from Stoops.
“He shouldn't be on Twitter when he's making a foolish statement,” Stoops said then.
Jackson wound up transferring to a junior college and is now at Tennessee.
Wednesday, Jackson was one of the former players who reacted on the site when Stoops' account was opened.
“Coach Stoops has a twitter???? Haha, that's funny,” Jackson posted.
The vast majority of Stoops' tweets have been retweets from the official OU football account.
After Wednesday's practice, that account posted a short video of Sooners cornerback Aaron Colvin, who had mentioned Stoops' account in a tweet earlier in the day, encouraging fans to follow the now-open account.