11:34 AM PT -- We've gotten some much-needed clarification on what exactly is happening at the gym Taylor Swift frequents whenever she drops in for a workout -- and while it's not nearly as dramatic as it was made out to be ... she does, in fact, get special treatment when she's there.

A rep for Dogpound tells TMZ ... "Dogpound is a by-appointment establishment. We value members' experience and have never had anyone wait outside for 2 hours. The narrative running in the media does not accurately reflect circumstances. We respect the privacy of our clients." On the issue of who these people outside were, they wouldn't say.

Lucky for us, we found the answer another way ... sources familiar with this gym tell us that several of the folks pictured in workout attire are actually Dogpound employees -- whom, we're told, do have to get out when Taylor swings by to get some exercise.

Our sources say this is standard operating procedure, and Taylor's workouts only last an hour. Point being ... the gym is cleared entirely when she rolls up, for privacy it seems.

Taylor Swift and Travis Kelce left L.A. fitness enthusiasts on the curb waiting while they overtook a West Hollywood gym for a lengthy, private workout date.

The couple closed down Dogpound gym Monday for 2 whole hours, leaving gym members to wait outside looking extremely confused. Check out the new images ... showing several gym members offering up an abundance of side-eye while waiting on the sidewalk with water in hand.

Dogpound gym is a favorite of Taylor's, as she often books the whole facility out for private workout sessions. Remember, she once tried to have Justin Bieber booted from the gym in 2020 when he overstayed his welcome during her private workout.

Taylor and Travis have been calling the singer's $25 million Beverly Hills mansion home since returning to the U.S. following last week's romantic getaway in the Bahamas.

After packing on the PDA in the Caribbean, the love birds stepped out for a lunch date in Malibu. TK and TS took in ocean views as they enjoyed some food at Nobu -- a celeb hot spot.

Still, we can't say we're surprised the pair followed up their lunch outing with a little fitness.

While he's currently enjoying the offseason, the Kansas City Chiefs star tight end is expected to stay in tiptop shape ahead of the NFL's preseason.

Tay Tay's "Eras" tour also picks up again in May -- and the nearly 4-hour concert requires her to be in incredible shape, too.

So, we have a feeling this isn't the last gym date for Traylor.

For more Taylor news check out The TMZ Swift-Tea podcast, available on all podcast platforms.