A source exclusively tells PEOPLE that Blake Lively is staying in touch with her legal team amid her legal battle with Justin Baldoni.

Blake Lively and Justin Baldoni's legal battle remained effectively deadlocked on Monday following the first hearing since her initial sexual harassment complaint and his $400 million civil countersuit were filed over their experiences on "It Ends With Us.

A judge has threatened to move up the trial date in the case of Justin Baldoni and Blake Lively if it continues to be “litigated in the press.”