Strip Club to Lindsay Lohan -- We'll Save Your Storage Locker, IF ...

Lindsay Lohan might NOT have to bid farewell to her storage locker full of personal belongings ... 'cause a famous strip club is offering to pony up the cash to save it -- but there's a huge catch.

We broke the story ... Lohan (who's super broke) fell way behind on her storage bill, and now the contents are set to hit the auction block later this month unless she comes up with $16k, stat.

Now, the legendary Scores strip club in NYC is offering to come to Lohan's rescue -- firing off a letter to Lindsay's lawyer claiming it will foot the entire bill, if she's willing to do some work for their online site, ScoresLive.com.

But the "work" isn't what you think -- Scores says it wants the actress to serve as an online video chat host for it's website ... a job which DOES NOT require nudity. It's unclear how many "chats" Lohan would be required to host.

To sweeten the deal, Scores has also offered to pay the rent on Lindsay's leased Bev Hills mansion for the next couple of months ... more cash she could desperately use.

We reached out to Lindsay for comment, but no word back yet -- we're guessing the Scores gig isn't entirely out of the question, considering the storage locker could be filled with ultra-personal items Lohan doesn't want to go public. Plus, she did pose for Playboy when they came calling with the right sized check.