The former NFL All-Pro now claims Britney Taylor is "hiding" from giving a live deposition -- and he's asking a judge to force her to show up in person for the depo ... or, if not, throw out the lawsuit.

But, Taylor's attorney tells TMZ Sports ... that's all a bunch of B.S., saying, "It's not that she's hiding, it's just that Florida's a little infected [with coronavirus] right now."

Here's the deal ... in new court docs, Brown's attorneys say they're trying to get Taylor to sit for a live depo to question her about her allegations that Brown sexually assaulted her on multiple occasions.

In the docs, though, the attorneys say Taylor is only willing to meet with them over Zoom ... something they say they're NOT OK with.

"The nature of her allegations," Browns attorneys say in the docs, "coupled with the fact that she has absolutely no corroboration for her claims mandate that a live deposition of Ms. Taylor be had."

They now want a judge to FORCE Taylor to show up in person -- while following all proper COVID-19 safety guidelines -- or throw out the case.

But, when we spoke with Taylor's attorney, David Haas, he told us the only reason Taylor is refusing to show up in person is because of the global pandemic.

Haas says his client is willing to answer questions but adds "we're just trying to keep her safe."

A ruling on the motion from the judge has yet to come down ... but Haas says he expects it to be denied.

As we previously reported, Taylor -- who met Brown while the two attended Central Michigan -- is suing the NFL player, claiming, among other things, he violently raped her in 2018.