The now exclusively fashion designer Olsen twin is reported to have harboured Johnny for a night on February 27.
A witness claims to have seen the 48-year-old leaving the office building connected to Ashley's Tribeca apartment "looking like he didn't want to be seen" the morning after their 24-hour get-together.
In Touch reports the two enjoyed an action-packed "sneak slumber party" that certainly "left Johnny looking exhausted".
"It was quiet in her apartment, like it was just the two of them in them," an insider told the mag, adding: "It didn't seem like it was just a visit between friends."
An "office worker" from next door confirmed the story, telling Star: "An email went around to the employees saying Johnny Depp was using our building to try and avoid paparazzi."
Despite rumours of trouble in (Vanessa) Paradis (pardon the pun), Johnny claims to still be joyfully paired with his French actress partner.
Last we heard, Angelina Jolie was to blame for ruining their longtime romance.
